Algebra - Quadratic Equations - Part I (Practice Problems)

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Section 2.5 : Quadratic Equations - Part I

For problems 1 – 7 solve the quadratic equation by factoring.

${u^2} - 5u - 14 = 0$ Solution
${x^2} + 15x = - 50$ Solution
${y^2} = 11y - 28$ Solution
$19x = 7 - 6{x^2}$ Solution
$6{w^2} - w = 5$ Solution
${z^2} - 16z + 61 = 2z - 20$ Solution
$12{x^2} = 25x$ Solution

For problems 8 & 9 use factoring to solve the equation.

${x^4} - 2{x^3} - 3{x^2} = 0$ Solution
${t^5} = 9{t^3}$ Solution

For problems 10 – 12 use factoring to solve the equation.

$\displaystyle \frac{{{w^2} - 10}}{{w + 2}} + w - 4 = w - 3$ Solution
$\displaystyle \frac{{4z}}{{z + 1}} + \frac{5}{z} = \frac{{6z + 5}}{{{z^2} + z}}$ Solution
$\displaystyle x + 1 = \frac{{2x - 7}}{{x + 5}} - \frac{{5x + 8}}{{x + 5}}$ Solution

For problems 13 – 16 use the Square Root Property to solve the equation.

$9{u^2} - 16 = 0$ Solution
${x^2} + 15 = 0$ Solution
${\left( {z - 2} \right)^2} - 36 = 0$ Solution
${\left( {6t + 1} \right)^2} + 3 = 0$ Solution