Solve using the quadratic formula: 2x2 + 7x - 5 = 0

Answer x= -b+x√b2 -4ac

                         2a

Step-by-step explanation:

Solving the  quadratic equation , x=0.607,4.107

Explanation:

Given the quadratic equation:

Quadratic formula:

One way of solving a quadratic equation on the form of   is to used the quadratic formula. It tells us that the solutions of the quadratic equation are

" alt="x= \frac{-b\pm\sqrt{b^2-4ac}}{2a}" />" />

where

a≠0 and

b2−4ac≥0

So, we can see that the above equation is a quadratic  equation  and we will solve this equation by using the discriminant  method.

So, according to question, we have  

a = 2

b = 7

c = -5

Substituting the values in Quadratic formula, we have

=                                

x=0 0.608                                                             x= 4.107

So, we will get the values of x=0.607,4.107

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0