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Lena [83]
11 months ago
14

Solve the equation.9x^2 + 16 = 0

Mathematics
1 answer:
REY [17]11 months ago
4 0

Step 1

Given;

9x^2+16=0

Required: To solve the equation.

Step 2

Solve the equation

\begin{gathered} 9x^2+16-16=0-16 \\ 9x^2=-16 \\ \frac{9x^2}{9}=\frac{-16}{9} \\ x^2=-\frac{16}{9} \\ \sqrt{x^2}=\pm\sqrt{\frac{-16}{9}} \\ x=\sqrt{-\frac{16}{9}},\:x=-\sqrt{-\frac{16}{9}} \\ x=i\frac{4}{3},\:x=-i\frac{4}{3} \end{gathered}

Answer;

x=\frac{4}{3}i,\text{ -}\frac{4}{3}i

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