Question

x2+3x-70=0 by qudratic equation

Answer 1

Answer and Explanation: 1

We have the quadratic equation:

$$\begin{align} x^2-3x-70=0 \end{align} $$

To solve this equation, we will use the quadratic formula

x=pm b^2-4ac

From our equation above,{eq}a=1,\; b=-3\text{ and }c=-70 {/eq}.

Therefore:

${\huge{\underline{\small{\mathbb{\pink{3 \ pm \ \ 289 \ 2 \\ 0.3cm}}}}}}$

$$\begin{align} x&=\dfrac{3 \pm \sqrt{3^2-4(1)(-70)}}{2}\\[0.3cm] x&=\dfrac{3\pm \sqrt{289}}{2}\\[0.3cm] x&=\dfrac{3\pm 17}{2}\\[0.3cm] &\boxed{\color{blue}{x=10, \quad x=-7}} \end{align} $$

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$\sf\red{Thank\:you!}$