Question

Ir a.ß are the roots of 2x - 3x +5 = 0, then a +B=​

Answer 1

Answer:

For quadratic equation ax2+bx+c=0  

sum of roots =−ba

product of roots =ca

2x2−3x−5=0

α+β=32

αβ=−52

For quadratic equation ax2+bx+c=0 with roots α2 and β2

baca=−(α2+β2)=2αβ−(α2+2αβ+β2)=2αβ−(α+β)2=2(−52)−(32)2=−294=α2β2=(αβ)2=(−52)2=254

Let a=4⟹b=−29,c=25

4x2−29x+25=0