Question

If 2 and -3 are the zeroes of the quadratic polynomial x²+(a+1)x+b, then find the values of a and b.If 2 and -3 are the zeroes of the quadratic polynomial x²+(a+1)x+b, then find the values of a and b.

plz no copied answer​

Answer 1

Compare given equation with the general form of quadratic equation, which ax2+bx+c=0

a=(a−b),b=5(a+b),c=−2(a−b)

Find Discriminant:

D=b2−4ac

=(5(a+b))2−4(a−b)(−2(a−b))

=25(a+b)2+8(a−b)2

=17(a+b)2+{8(a+b)2+8(a−b)2}

=17(a+b)2+16(a2+b2)

Which is always greater than zero.

Equation has real and unequal roots.

Answer 2

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