Question

Solve the equation by using the quadratic formula. x^2+2x=6​

Answer 1

Answer: Edmentum and Plato

Explanation:

Answer 2

`\Huge \boxed{{x=-1\pm √(7)}}`

Explanation:

x² + 2x = 6

Subtract both sides by 6.

x² + 2x - 6 = 0

ax²+bx+c=0

a=1, b=2, and c=-6

We can apply the quadratic formula.

`\displaystyle x=(-b\pm√(b^2-4ac))/(2a)`

Plug in the values.

`\displaystyle x=(-2\pm√(2^2-4(1)(-6)))/(2(1))`

Evaluate.

`\displaystyle x=(-2\pm√(4-(-24)))/(2)`

`\displaystyle x=(-2\pm√(28))/(2)`

`\displaystyle x=(-2\pm 2√(7))/(2)=-1 \pm √(7)`