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3 years ago

Complete the square 3x^2+12x=15

Mathematics

1 answer:

barxatty [35]3 years ago

3 0

Step-by-step explanation:

$3 {x}^{2} + 12x = 15 \\ 3 ({x}^{2} + 4x) = 15 \\ {x}^{2} + 4x = 5 \\ {x}^{2} + 4x = 5 \\ {x}^{2} + 4x + 4 = 5 + 4 \\ {x}^{2} + 4x + 4 = 9 \\ {x}^{2} + 4x + {2}^{2} = {3}^{2} \\ \red{ \bold{ (x + 2)^{2} = {3}^{2}}} \\$

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timofeeve [1]

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To solve this question, we need to know what an equivalent fraction is.

Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.

For example, $(\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8})$ all equate to $\frac{1}{2}$ when simplified.

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Fractions: In mathematics, a fraction is a numerical entity that is not a whole number.

To learn more about fractions, click on the link below.

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