Quadratic equations: Solving quadratic equations
Solving quadratic equations by completing the square
Solve #x# by completing the square in the equation
\[-4x^2-12x+32=-28x\tiny\]
Place the steps in the correct order.
\[-4x^2-12x+32=-28x\tiny\]
Place the steps in the correct order.
- step 1
- step 2
- step 3
- step 4
- divide by #-4#
- complete the square
- solve the equation by reduction
- reduce to #0#
- #\left(x-2\right)^2-\left(2\right)^2 -8=0#
- #x^2-4\cdot x-8=0#
- #-4\cdot x^2+16\cdot x+32=0#
- #x=2-2\cdot \sqrt{3}\lor x=2\cdot \sqrt{3}+2#
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