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CBSE Class 10 Answered

Pls give the answer of these two question fast  
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Asked by origami & craft | 25 Mar, 2019, 10:07: PM
answered-by-expert Expert Answer
if α and β are roots of quadratic equation, then the equation is  x2 -(α+β)x + αβ = 0
 
we have α = 2√2+3  and  β = 2√2-3  ,  hence α+β = 4√2   and αβ = 8-9 = -1
 
Hence the eqn. is,  x2 -4√2x -1 = 0
 
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f(x) = 4x2 +18x -10 = 0
 
f(-1/2) = 4(-1/2)2 +18(-1/2) -10 = 4-19 = -15 ≠ 0
 
f(5) = 4(5)2 +18(5) -10 = 180 ≠ 0
 
hence -1/2 and 5 are not roots of given equation.
 
4x2 +18x -10 = 0
 
4x2 +20x -2x -10 = 0
4x(x+5)-2(x+5) =0
(4x-2)(x+5) = 0
 
hence roots are -5 and 1/2
Answered by Thiyagarajan K | 26 Mar, 2019, 10:20: AM
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