Question

if α and β are roots of quadratic equation
2x2-4x-3=0
I) α+β=?
2)α-β=?
​

Answer 1

Step-by-step explanation:

2x^2-4x-3=0 or x^2- (4/2)x =(3/2=0 or x^2-2x -(3/2)=0

The product of the root= -(3/2) & the sum of the roots = -2

hence, ab= - (3/2)...... 1

a + b = -3 ..................... 2

square (2) to get a^2 + 2ab + b^2 -4 or a^2 +b^2=4 - [-2*1.5] =4+3 =7

Hence, a^2+b^2=7

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