5.6 Quadratic Equations In One Variable with Applications

Factoring trinomials, the square root method, and the quadratic formula as three routes to the roots, with graphs showing where they cross.

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9 exercises

Factor $x^{2} + 7 x + 12$ .

Factor $x^{2} - 11 x + 28$ .

Solve $\left(x + 1\right) \left(x - 4\right) = 0$ .

Solve $x^{2} + 2 x - 8 = 0$ .

Solve using the square Root Property: $x^{2} = 169$ .

Solve using the Square Root Property: $144 q^{2} = 25$ .

Solve using the quadratic formula: $x^{2} - 6 x + 5 = 0$ .

Solve using the quadratic formula: $2 x^{2} + 9 x - 5 = 0$ .

The product of two consecutive integers is 132. Find the integers.