Question

Solve for 4x2 + x - 6 = 0

Answer 1

Answer:
`x= (-1+√(97) )/(8) , (-1-√(97) )/(8)`

Explanation:

Use the Quadratic Formula .. if you use Completing the Square it'll take longer!!

In general, given
`ax^(2) +bx+c=0` , there exists two solutions where:

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

In this case, a=4 , b=1 and c= -6

`x= (-1+√(1-4*4*-6) )/(2*4)` ,
`(-1-√(1-4*4*-6) )/(2*4)`

Simplify.

`x=(-1+√(97) )/(8)` ,
`(-1-√(97) )/(8)`