2(6 - x) = x(x + 5)
Solve the following problem for the roots by using the quadratic formula.
2(6 - x) = x(x + 5)
12 - 2x = x^2 + 5x
x^2 + 5x + 2x - 12 = 0
x^2 + 7x - 12 = 0
-b ± √(b² - 4*a*c)
x = ------------------------
2a
-7 ± √(7² - 4*1*(-12))
x = -----------------------------
2(1)
-7 ± √(49 + 48)
x = -----------------------
2
-7 ± √(97)
x = ----------------
2
-7 ± 9.8489
x = ------------------
2
-7 ± 9.8489
x = -------------
2
-16.8489 2.8489
x = -------------- and x = -----------
2 2
x = -8.42445 and x = 1.42445