Question

Solve the equation. Round to the nearest tenth if necessary.

Write an equation that has exactly two solutions, 1.5 and -1.5

Short answer

The equation is$x^2=2.25$.

Step-by-step solution

Step 1. Given Information.

The given square roots are $1.5\text{\hspace{0.17em}\hspace{0.17em}and\hspace{0.17em}\hspace{0.17em}}-1.5$.

Step 2. Calculation.

The equation can be written as,

$\begin{array}{c}{x}^2=2.25\\ x={\left(2.25\right)}^{\frac{1}{2}}\\ =\pm 1.5\end{array}$

Step 3. Conclusion.

The equation is$x^2=2.25$.