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$$1+b^2 = 9$$
Answer
$$ \begin{matrix}b_1 = -2 \sqrt{ 2 } & b_2 = 2 \sqrt{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 1+b^2 &= 9&& \text{simplify left side} \\[1 em]b^2+1 &= 9&& \text{move all terms to the left hand side } \\[1 em]b^2+1-9 &= 0&& \text{simplify left side} \\[1 em]b^2-8 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-8 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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