Will give a medal. Need help urgently.

Which of the following is a solution of x^2 + 5x = -2?

Question

Will give a medal. Need help urgently.

Which of the following is a solution of x^2 + 5x = -2?

anonymous · Answer

attachment

p0sitr0n · Answer

$$\frac{-5\pm\sqrt{17}}{2}$$ by solving it using the quadratic formula

anonymous · Answer

Can you explain it completely so that I know how to do it in the future?

p0sitr0n · Answer

Recall that is $$\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$, where a is the coefficient of x^2 (1 in our case), b is of x (5 in our case) and c is the constant term (2 in our case, dont forget the total experssion must be = 0)

p0sitr0n · Answer

This will give you two roots, (note the plus / minus)

anonymous · Answer

ok.. then you just solve right @P0sitr0n ?

p0sitr0n · Answer

yep

p0sitr0n · Answer

this formula was derived specifically for this purpose

p0sitr0n · Answer

that said, don't forget to always check that the term under the square root (called the dicriminant) is always positive or zero

p0sitr0n · Answer

basically you only plug in a, b and c into the formula (those coefficients are taken from your equation)