Question

solve x2+5x-14=0

what is the answer for this question
urgent

Answer 1

Answer:

x = 2, -7

Step-by-step explanation:

We can start by finding two numbers which add to make 5 and multiply to make -14. The only two which fit the bill are 7 and -2, and using that fact, we can break apart the middle term of the polynomial:

$x^2-2x+7x-14=0$

From the $x^2-2x$, we can factor out an x, and from the $7x-14$, we can factor out a 7, giving us

$x(x-2)+7(x-2)=0$

Or, factoring out the $x-2$,

$(x-2)(x+7)=0$

Solving $x-2=0$ gives us $x=2$, and solving $x+7=0$ gives us $x=-7$, so our solutions are $x=2, -7$