Question

What is the solution to the following equation?x^2+3x−7=0

Answer 1

Explanation:

Given the equation:

`x^2+3x-7=0`

On observation, the equation cannot be factorized, so we make use of the quadratic formula.

`x=(-b\pm√(b^2-4ac) )/(2a)`

Comparing with the form ax²+bx+c=0: a=1, b=3, c=-7

Substitute these values into the formula.

`x=\frac{-3\pm\sqrt[]{3^2-4(1)(-7)}}{2*1}`

We then simplify and solve for x.