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ICSE Class 10 Answered

Sir/Madam, kindly explain the following sum, thank you. 
question image
Asked by kryngnga | 05 Mar, 2020, 08:58: PM
answered-by-expert Expert Answer
8x2 - 11x - 10 = 0
Here, a = 8, b = -11 and c = -10
D= b2 - 4ac =(-11)2 - 4(8)(-10) =  121 + 320 = 441 > 0
So, the given quadratic equation has two distinct real roots.
begin mathsize 16px style straight x equals fraction numerator negative straight b plus-or-minus square root of straight D over denominator 2 straight a end fraction equals space fraction numerator negative left parenthesis negative 11 right parenthesis plus-or-minus square root of 441 over denominator 2 left parenthesis 8 right parenthesis end fraction equals fraction numerator 11 plus-or-minus 21 over denominator 16 end fraction rightwards double arrow straight x equals fraction numerator 11 plus 21 over denominator 16 end fraction space or space straight x equals fraction numerator 11 minus 21 over denominator 16 end fraction rightwards double arrow straight x equals space 32 over 16 equals 2 space or space straight x equals fraction numerator negative 10 over denominator 16 end fraction equals fraction numerator negative 5 over denominator 8 end fraction end style
 
 

Answered by Yasmeen Khan | 06 Mar, 2020, 09:37: AM

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