Im assuming you mean x2 (x squared). This equation will be a quadratic.
so...
x2+144=-24x subtract -24x from itself and the other side
-24x -24x
-----------------
x2-24x+144=0 now break it down even further
(x-12)(x-12)=0 Now you solve the "mini-equations"
x-12=0 x-12=0
+12 +12 +12 +12
---------------------------
x=12 or x=12
hope it helps!!!
(x^2) + 24x + 144 = -9 x = -12
x=-.25.
x2 + 24x +180 = 0 By using the quadratic equation, you can find that x = -12 + 6i or x = -12 - 6i
4x-7=24x=9 x=9/4
X^2 + 24X = 50 you halve the linear term, square it and add it to both sides X^2 + 24X + 144 = 50 + 144 factor the left side; gather terms on the right (X + 12)^2 = 194 (X + 12)^2 - 194 = 0 so, either 144 is your number, or 194 is. Sounds as a silly question to me as you complete the square to get the vertex of the polynomial. Which is; (12,- 194) = wrong!! Woops! Wrong! Made fudemental mistake! [ (- 12 + 12 ) = 0!! ] So, the vertex is; (- 12, - 194 )
(x^2) + 24x + 144 = -9 x = -12
x2+24x+144 = 9 x2+24x+144-9 = 0 x2+24x+135 = 0 (x+9)(x+15) = 0 x = -9 or x = -15
x=-.25.
144
You must add (17n + 144).
If you can't factor it easily, use the quadratic formula.
3(2) + 24x + 48 = 0 6 + 24x + 48 = 0 24x + 54 = 0 24x + 54 - 54 = 0 - 54 24x = -54 24x/24 = -54/24 x = -9/4 x = -2 1/4
No real roots.
144
30x2+25x-24x-20 = 30x2+x-20 = (6x+5)(5x-4) when factored
x2 + 24x +180 = 0 By using the quadratic equation, you can find that x = -12 + 6i or x = -12 - 6i
4x-7=24x=9 x=9/4