How do you solve x^2−(72)x+32=0  using the quadratic formula?

Mar 7, 2016

${x}_{1} = 0 , 45$
${x}_{2} = 71 , 55$

Explanation:

$a {x}^{2} + b x + c = 0$
$\Delta = {b}^{2} - 4 \cdot a \cdot c$
$\Delta = {\left(- 72\right)}^{2} - 4 \cdot 1 \cdot 32 \text{ "Delta=5184-128" } \Delta = 5056$
${x}_{1} = \frac{- b - \sqrt{\Delta}}{2 a} \text{ } {x}_{1} = \frac{72 - 71 , 1}{2 \cdot 1}$
${x}_{1} = \frac{0 , 9}{2}$

${x}_{2} = \frac{- b + \sqrt{\Delta}}{2 a}$
${x}_{2} = \frac{72 + 71 , 1}{2.1}$
${x}_{2} = \frac{143 , 1}{2}$