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Solve the equation 3x2 - 4x - 29 = 2x + 16

User Kouak
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1 Answer

5 votes

Answer:

Explanation

Simplify the expression

Divide both sides by the same factor x^2 - 2x - 15 = 0

Evaluate the exponent\(x=\frac{2\pm \sqrt{\textcolor{#B14BA5}{(-2)^{2}}-4\cdot 1(-15)}}{2\cdot 1}\)\(x=\frac{2\pm \sqrt{\textcolor{#B14BA5}{4}-4\cdot 1(-15)}}{2\cdot 1}\)Multiply the numbers\(x=\frac{2\pm \sqrt{4\textcolor{#B14BA5}{-4}\cdot \textcolor{#B14BA5}{1}(\textcolor{#B14BA5}{-15})}}{2\cdot 1}\)\(x=\frac{2\pm \sqrt{4+\textcolor{#B14BA5}{60}}}{2\cdot 1}\)Add the numbers\(x=\frac{2\pm \sqrt{\textcolor{#B14BA5}{4}+\textcolor{#B14BA5}{60}}}{2\cdot 1}\)\(x=\frac{2\pm \sqrt{\textcolor{#B14BA5}{64}}}{2\cdot 1}\)Evaluate the square root\(x=\frac{2\pm \textcolor{#B14BA5}{\sqrt{64}}}{2\cdot 1}\)\(x=\frac{2\pm \textcolor{#B14BA5}{8}}{2\cdot 1}\)Multiply the numbers

User KylePDavis
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8.0k points