Question

Solve for x.
2x² +21x-61 = (x+7)²

Please

Answer 1

after you rewrite the equation, identify the coefficients , substitute the coefficients and simplify the expression you’ll be left with 489

Answer 2

`x = (-7 +√(489) )/(2)`

`x = (-7 - √(489) )/(2)`

Explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

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

plug in the values

`x = \frac{-7 +- \sqrt{7^(2)-4(1)(-110) } }{2(1)}`

solve

`x = (-7 +- √(49-4(1)(-110) ) )/(2)`

`x = (-7 +- √(49 + 440 ) )/(2)`

`x = (-7 +- √(489) )/(2)`