Question

x^2 + 24x + 90 = 0
how would i solve for x?

Answer 1

With the quadratic formula.

Answer 2

yeah

Answer 3

its ax^2 + bx + c right?

Answer 4

yes

Answer 5

so how would i solve it though? thats the only part im stuck on

Answer 6

the quadratic formula is \[(-b \pm \sqrt{b^2 -4ac}) / 2a\] with the variables you mentioned above plugged in, so -24 \[(-24 \pm \sqrt{24^2 -4(1)(90)}) / 2\]

Answer 7

and setting it up this way will solve for x?

Answer 8

yes. factoring is faster if possible, though. here it's not.

Answer 9

oh ok ok
now i would have to simplify the square roots too?

Answer 10

yeah, you'd figure out the value of the radical/square root, then add/subtract it to/from -b and divide by 2a to get the answers