Question

if one zero of the polynomial p(x) = x^2+5x+k is one more than the other, then find the value of k.

Answer 1

♠Answer♠

Here , As The Roots are consecutive , Difference of roots = 1 .

As we know , Difference of roots = √D/a

So , √( b² - 4ac ) = 1

B² -4ac = 1

b² = 1 + 4ac

25 = 4k + 1

k = 6

Which Is The Required Value .

#SupermanINFINITY

Answer 2

Let the roots be a and a+1. Then,
a+a+1=(-5)
2a=(-6)
a=(-3)
and
a(a+1)=k
So,
(-3)(-2)=k
k=6

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