Answer:
x=3/4+1/4√37 or x=3/4+−1/4√37
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x−5=2−4x(x−1)
Step 1: Simplify both sides of the equation.
−2x−5=−4x^2+4x+2
Step 2: Subtract -4x^2+4x+2 from both sides.
−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)
4x^2−6x−7=0
For this equation: a=4, b=-6, c=-7
4x^2+−6x+−7=0
Step 3: Use quadratic formula with a=4, b=-6, c=-7.
x=−b±√b2−4ac/2a
x=−(−6)±√(−6)2−4(4)(−7)/2(4)
x=6±√148/8
