Question

Solve the quadratic equation 8x2 + 6x = 5 using the quadratic formula

Answer 1

`x=-(11)/(6)`

Explanation:

8x2=6x=5

16+6x=5

6x=5-16

6x=-11

`x=-(11)/(6)`

Answer 2

See below.

Explanation:

`8x^2+6x=5`

Reformat this so the equation equals zero:

`8x^2+6x-5=0`

`a=8, b=6, c=-5`

`x=(-b\pm√(b^2-4ac) )/(2a)`

`x=(-(6)\pm√((6)^2-4(8)(-5)) )/(2(8))`

`x=(-6\pm√(36+160) )/(16)`

`x=(-6\pm√(196) )/(16)`

`x=(-6\pm14 )/(16)`

`x=(-6+14)/(16)=8/16=1/2` or

`x=(-6-14)/(16)=-20/16=-5/4`