Completing the Square To solve ax2+ bx + c = 0 (a ≠0) by completing the square, use these steps. Step 1 Be sure the squared term…
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Square of a Binomial
Square of a Binomial The square of a binomial is the sum of the square of the first term, twice the product of the two terms, and the square…
Find square roots
Find square roots As we saw 52 = 5 . 5 = 25 , so 5 squared is 25. The opposite of squaring a number is called taking its square…
Solving by Completing the Square
Solving by Completing the Square To solve an equation ax2 + bx + c = 0 by completing the square: a. If a ≠ 1 , multiply by so that the…
Completing the Square
Completing the Square We can solve quadratic equations like 3×2 = 6 and (x – 2)2 = 7 by using the principle of square roots. We can also…
The principal of Square Roots
The principal of Square Roots The quadratic equation 5×2 + 8x – 2 = 0 is said to be in standard form. The quadratic equation 5×2 = 2 – 8x…
Square Roots and Square-Root Functions
Square Roots and Square-Root Functions When we raise a number to the second power, we say that we have squared the number. Sometimes we may need to find the number…
Recognizing Trinomial Squares
Recognizing Trinomial Squares Some trinomials are squares of binomials. For example, the trinomial x2 + 10x + 25 is the square of the binomial x + 5. To see…
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