Question

Quiz: Completing the Square 7 Solving Quadratic Equations

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 - 5x = 12
5.58, -0.58
2.4, 4.27
20.75, -15.75
06.77, -1.77
armula

Answer 1

Explanation:

x²-5x=12

x²-5x+(\frac{-5}{2})²=12+(frac{-5}{2})²

`(x-(5)/(2) )^2=12+(25)/(4) =(73)/(4) \\x=(5)/(2) \pm(√(73) )/(2)=2.5 \pm 4.272\\x\approx 6.772,-1.772\\\\x \approx 06.77,-1.77`