Name ___________________________________
Date _________________
Per. ______
Guided Notes: Solving a Quadratic Equation in Standard Form
a x 2 + bx + c = 0
✴
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Divide each term by a
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Subtract the constant term from both sides
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Complete the square
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Factor the left side and simplify the right side
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Square root of each side
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Isolate x
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Simplify
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Rearrange terms
This nal equality is known as the _____________________________________ and it can be used to nd the solutions to
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any quadratic equation written in standard form.
Example
Solve using the quadratic formula.
5x 2 − 3 = 7x