If 15 and –16 are roots of a quadratic equation. then the equation is:

Correct option is B

Given:

Roots of the quadratic equation: 15 and -16

Formula used:

If $$\alpha$$​ and $$\beta$$​ are the roots of the quadratic equation, the equation can be written as:

(x−α)(x−β)=0

Solution:

α=15

β=−16

(x−15) (x+16)=0

$$x^2$$​(x+16)−15(x+16) = 0

​$$x^2$$ +16x−15x−240 = 0

$$x^2$$ +$$x$$ -240 = 0

​The quadratic equation with roots 15 and -16 is

​$$x^2 +x-240=0$$​​