Question

Solve. x2 + 10x = –2

Answer 1

Is that x^2 + 10x = -2 ?

Answer 2

yes!

Answer 3

x^2 + 10x + 2 = 0
x = (-10 +/- sqrt(100-8)) / 2
= -5 +/- sqrt(23)

Answer 4

approx. -9.8 and -0.2

Answer 5

First arrange it so that it is equal to 0:
\[x^{2} + 10x + 2 = 0\]
Then use the quadratic equation, as rulnick did:\[x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}\]
Where a is the coefficient of the first term (1), b is the coefficient of the 2nd term (10), and c and the coefficient of the 3rd term (2)

Answer 6

Thank you guys!

Answer 7

Or, if you don't know/ don't like the quadratic equation:
x^2+10x=-2 add 25 to both sides
x^2+10x+25=23 factor the left
(x+5)^2 =23 take the squareroot of both sides
|x+5|=sqrt(23) you then eliminate the absolute value, giving the answers:
\[x=-5\pm\sqrt{23}\]
this method is known as completing the square.