x^2:3x+5=1:2
You asked:
Solve \({x}^{2} : 3 x + 5=1 : 2\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= -1\\x &= \frac{5}{2}\end{aligned}$$
Express both ratios as fractions. \[\frac{x^{2}}{3 x + 5} = \frac{1}{2}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{x^{2}}{3 x + 5} &= \frac{1}{2} \\ 2 x^{2} &= 3 x + 5 \\ x = -1&,\, x = \frac{5}{2} \end{aligned}$$