How do you factor this equation?
7x²+5x-3

Step-by-step explanation:

This is a quadratic expression.  Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.

The coefficients of this quadratic expression are a = 7, b = 5 and c = -3

The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109.  Because this is positive, we know that the expression has two unequal, real roots.

Using the quadratic formula, we now find these roots:

      -b ± √(discriminant)

x =   which here is:

                   2a

      -5 ± √109

x =

             14

The factors can be found from these two roots.  The first one is

      -5 - √109                  5 + √109

(x - )  =  (x + )

             14                              14

and the second is

        5 - √109              

(x + )  

             14                

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

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