# Write a quadratic equation in standard form with the given sqrt[s]{}. frac{-5,1}{2}

Write a quadratic equation in standard form with the given $\sqrt[s]{}$.
$\frac{-5,1}{2}$
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wheezym
Using the given roots, make a standart quadratic equation
$\left(x-p\right)\left(x-q\right)=0$ factored form of quadratic equation
$\left(x+5\right)\left(\frac{x-1}{2}\right)=0$ substitute the values
$\frac{{x}^{2}-1}{2x+5x-5/2}=0$ Use FOIL method
$\frac{2\left({x}^{2}-1\right)}{2x+5x-\frac{5}{2}}=2\left(0\right)$ Multiply each side by 2 to remove fraction
$2{x}^{2}-x+10x-5=0$ Simplify
$2{x}^{2}+9x-5=0$ Combine like terms