Completing The Square For Quadratic Equations
By DarthVader
Date: 2022-10-13
Topic: 169 see comments
Post views: 962
Completing The Square For Quadratic Equations
To complete the square for a quadratic equation of the form; ax2 + bx:
- Write down (x x x)2, filling the gap with the number that is half of b, the coefficient of x.
- Subtract the square of the number you wrote in the gap.
To complete the square for a quadratic equation of the form; ax2 + bx + c:
- Write down (x x x)2, filling the gap with the number that is half of b, the coefficient of x.
- Subtract the square of the number you wrote in the gap.
- Add the c term and collect the constants.
To complete the square for a quadratic equation of the form; ax2 + bx + c where a is not equal to 1:
- Rewrite the quadratic with the coefficient a taken out of the expression ax2 + bx as a factor, generating a pair of brackets in the process.
- Use the above strategy to complete the square of the simple quadratic of the form x2 + (b/a)x inside the brackets. This generates a second pair of brackets inside the first pair.
- Multiply out the outer brackets.
- Collect constant terms including c.
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