Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-7x= 60a.{–12, 5}c.{–10, 24}b.{–5, 12}d.{60, 67}
Accepted Solution
A:
Answer:B. {-5, 12}Step-by-step explanation:the quadratic equation is given by the formulax = -b± √b² - 4ac 2awhere a is the coefficient of x², b is the coefficient of x, and c is the constantin the equation; x² - 7x -60 = 0a = 1, b = -7, c = -60x = -(-7)± √(-7)² - 4*1*-60 (negative sign multiplied by negative sign will 2*1 a positive sign)x = 7 ± √49 + 240 2x = 7 ± √289 2x = 7 ± 17 2x= 7 + 17 or 7 - 17 2 2x = 24/2 or -10/2x = 12 or -5