Question

Solve the equation for x, where x is a real number (5 points): -2x^2 + 7x + 7 = 6

Answer 1

Start by doing a subtraction of 6 to both sides so that the equation becomes -2x^2 + 7x + 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                             x = [ -b ± √(b^2 - 4ac) ] / (2a)
                             x = [ -7 ± √((7)^2 - 4(-2)(1)) ] / ( 2(-2) )
                             x = [-7 ± √(49 - (-8) ) ] / ( -4 )
                             x = [-7 ± √(57) ] / ( -4)
                             x = [-7 ± sqrt(57) ] / ( -4 )
                             x = 7/4 ± -sqrt(57)/4
The answers are 7/4 + sqrt(57)/4 and 7/4 - sqrt(57)/4.

Answer 2

Yeah he's right the first answer