Question

Solve the equation 4x^2 - 12x = 7 algebraically for x.

Answer 1

`4x^2-12x=7\\4x^2-12x-7=0\\x=(-b+-√(b^2-4ac))/(2a)\\x=(-(-12)+-√((-12)^2-4(4)(-7)))/(2(4))\\x=(12+-√(144+112))/(8)\\x=(12+-√(256))/(8)\\x=(12+-16)/(8)\\x=(-4,28)/(8)\\x=(-1)/(2),(7)/(2)`

x = -0.5, 3.5