a) x2−2=2x−4
x≈2.732,x≈−0.732
Step 1 :Rewrite the equation in the standard form: x2−2x−2=0
Step 2 :Use the quadratic formula: x=−b±b2−4ac2a, where a=1, b=−2, and c=−2
Step 3 :Calculate the discriminant: Δ=b2−4ac=12
Step 4 :Find the solutions for x: x≈2.732 and x≈−0.732
Step 5 :x≈2.732,x≈−0.732