Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

Find a quadratic polynomial ,the sum and product of whose zeroes are square root of 2 space and -3/2, respectively.
Also find its zeroes.square root of 2 x minus 3 divided by 2 equals 1 divided by 2 space cross times left square bracket 2 x hat 2 minus 2 square root of 2 x minus 3 right square bracket end root   WHy did we multiply it with 1/2
Asked by aayush.rattan | 07 May, 2016, 08:19: PM
answered-by-expert Expert Answer
G i v e n space t h a t space s u m space a n d space t h e space p r o d u c t space o f space t h e space o f space t h e space t w o space z e r o e s space o f space t h e space q u a d r a t i c space p o l y n o m i a l space a r e space square root of 2 space a n d space fraction numerator negative 3 over denominator 2 end fraction L e t space alpha space a n d space beta space a r e space t h e space t w o space z e r o e s space o f space t h e space r e q u i r e d space q u a d r a t i c space p o l y n o m i a l. alpha plus beta equals square root of 2 space a n d space alpha beta equals fraction numerator negative 3 over denominator 2 end fraction T h e space q u a d r a t i c space e q u a t i o n space w h i c h space i s space h a v i n g space s u m space o f space t h e space z e r o e s space a s space alpha plus beta space a n d space t h e space p r o d u c t space o s space t h e space z e r o e s space alpha beta space i s x squared minus open parentheses alpha plus beta close parentheses x plus alpha beta equals 0 T h e r e f o r e comma space s u b s t i t u t i n g space t h e space g i v e n space v a l u e s space i n space t h e space a b o v e space e q u a t i o n comma space w e space h a v e x squared minus open parentheses square root of 2 close parentheses x plus fraction numerator negative 3 over denominator 2 end fraction equals 0 H e r e comma space 2 space i s space i n space t h e space d e n o m i n a t o r. space M u l t i p l y i n g space t h e space e q u a t i o n space b y space 2 space w e space h a v e comma fraction numerator 2 x squared minus 2 square root of 2 x minus 3 over denominator 2 end fraction equals 0 N o w space t a k i n g space t h e space f a c t o r space 1 half space c o m m o n comma space w e space h a v e comma 1 half open square brackets 2 x squared minus 2 square root of 2 x minus 3 close square brackets equals 0 T h u s comma space t h e space r e q u i r e d space e u q a t i o n space i s space 1 half space open square brackets 2 x squared minus 2 square root of 2 x minus 3 close square brackets equals 0
Answered by Vimala | 08 May, 2016, 06:27: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
The ratio of the sum and product of the roots of the quadratic equation 5x^2 - 6x + 21 + 0 is
Asked by anubhutiupadhaya | 14 Mar, 2024, 11:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the zeroes of the quadratic polynomial 6x²-3x-7x and verify the relationship between zeroes and coefficients.
Asked by reetudetha | 08 Jan, 2024, 04:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if -4 is a zero of the polynomial x^2-2x-(7m+3) then find the value of m
Asked by mysticsurya201 | 04 Jan, 2024, 08:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the no of polynomial having zeros-2 and 5 is
Asked by fatehbahadurtiwari3 | 30 Dec, 2023, 06:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the zero of the polynomial x²- 55x + 750
Asked by dhaneswarnimal80 | 11 Nov, 2023, 06:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find zeros of 4x square -7
Asked by skandachiranjeevin | 01 Nov, 2023, 08:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the value 'p'for which polynomials x²-(p²-9)x+8has zeroes equal in magnitude but opposite in sign is
question image
Asked by sazimkhan178 | 16 Sep, 2023, 11:27: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
x²-4x-6 what is the answer
Asked by pranavtamboli65 | 09 Jul, 2023, 09:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
p(X)=x2-(k+6)(X+2)(2k-1) then find the value of k is alpha+beta =1/2 alpha beta
Asked by rekhapreetham | 15 Jun, 2023, 08:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and the coffiecient 4u+8u
Asked by dimpaldihingia2 | 24 May, 2023, 06:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×