Question

Which of the following are solutions to the quadratic equation? Check all that

apply.
2x2 + 7x- 14 = x2 + 4

Answer 1

`\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }`

Explanation:

hello,

`2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2`

hope this helps