Question

Determine the nature of the roots of
the quadratic equation x2 +5x- 36=0​

Answer 1

Step-by-step explanation:

x

2

−5x−36=0

∴x

2

−(9−4)x−36=0

∴x

2

−9x+4x−36=0

∴x(x−9)+4(x−9)=0

∴(x−9)(x+4)=0

∴x=9 or x=−4

∴ The roots of the given equation are 9 and −4.