Question

Solve the following and round to the nearest tenth, if necessary.
x2 + 5x - 2 = 0
(Points : 4)
{-2, 5}
{-5.4, 0.4}
{-1, 0.5}
No real solution

Answer 1

@SolomonZelman

Answer 2

This in the box, is the equation of the quadratic formula.
\(\bbox[8pt, lime,border:8px solid black]{\LARGE \LARGE{x=~} \huge{ \frac{-\color{magenta}{b} \pm\sqrt{ \color{magenta}{b} ^2-4 \color{blue}{a} \color{red}{c}}}{2 \color{blue}{a}} } ~ }\)

And this formula applies to a quadratic when the equation is as follows:
\(\LARGE\color{black}{ \color{blue}{a} x^2+ \color{magenta}{b}x+ \color{red}{c}=0 }\)

Answer 3

In your case, the equation is:
\(\LARGE\color{black}{ \color{blue}{(1)} x^2+ \color{magenta}{(5)}x+ \color{red}{(-2)}=0 }\)

and when you fill in the formula, you get:
\(\normalsize\color{ slate }{\Huge{\bbox[5pt, lightcyan ,border:2px solid black ]{ \LARGE{x=~} \huge{ \frac{-\color{magenta}{5} \pm\sqrt{ \color{magenta}{5} ^2-4 \cdot \color{blue}{(1)} \cdot\color{red}{(-2)}}}{2 \color{blue}{(1)}} }~ }}}\)

Answer 4

@kaley246

Answer 5

can you finish solving for x ?

Answer 6

the answer is -5.4, 0.4

Answer 7

right

Answer 8

yes

Answer 9

correct!