Question

Is the solution shown below correct? Explain.

9x+2=8X+6x
–8x² + 3x +2=0
-3+ (3) - (4)(-8)(2)
3
X =
-16
-37/9 (64)
-16
3+ 557
16

Answer 1

Sample Response/Explanation

Explanation:

No. The correct values of a, b, and c were substituted in, but the formula was simplified wrong. The 64 should be added so the radicand is 73. There should be 2 real roots.

Answer 2

Solution is not correct.

Explanation:

Given question is incomplete; Here is the complete question.

Is the solution shown in the attachment correct ?

9x + 2 = 8x² + 6x

We have to solve this equation with the help of quadratic formula,

-8x² + 9x + 2 = 6x

-8x² + 9x - 6x + 2 = 0

-8x² + 3x + 2 = 0

Quadratic formula of a standard quadratic equation (ax² + bx + c = 0) is,

x =
`\frac{-b\pm\sqrt{b^(2)-4ac}}{2a}`

By comparing our equation with the standard quadratic equation,

a = -8

b = 3

c = 2

By substituting the values of a, b and c in the quadratic formula,

x =
`\frac{-3\pm\sqrt{(3)^(2)-4(-8)(2)}}{2(-8)}`

x =
`(-3\pm√(9+64) )/(-16)`

x =
`(9\pm√(73))/(16)`

Therefore, the given solution is not correct.