Question

Solve the following quadratic equation using the quadratic formula and then choose the correct solution set.
5x^2 + 7x = 6

{-2, 3/5} ?

Answer 1

{-2, 3/5} is correct.

Answer 2

could you explain the steps?

Answer 3

OK, wait

Answer 4

Equate to zero
\[=> 5x^2 + 7x = 6\]

\[=> 5x^2 + 7x - 6= 0\]

Quad. Equation - \[(-b ± \sqrt{b^2 -4ac})/2a\]

Plugin the numbers - \[(-7 ± \sqrt{7^2 -(4*5*-6)})/2*5\]

Solve - \[(-7 ± \sqrt{49 -(-120)})/10\]
\[(-7 ± \sqrt{169})/10\]
\[(-7 ± 13)/10\]

Root 1
= \[(-7 + 13)/10\]
= 3/5

Root 2
= \[(-7 - 13)/10\]
= -20/10
= -2

*Sorry for weird formatting as i'm new to this type of typesetting.

Answer 5

okay, thanks.

Answer 6

gotit.