Question

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

Answer 1

Answer x= -b+x√b2 -4ac

                  ---------------------

                         2a

Step-by-step explanation:

Answer 2

Solving the  quadratic equation , x=0.607,4.107

Explanation:

Given the quadratic equation:

$2x^2+7x-5=0$

Quadratic formula:

One way of solving a quadratic equation on the form of  $ax^2+bx+c=0$ is to used the quadratic formula. It tells us that the solutions of the quadratic equation are

$[tex]x=  \frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

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

$x=\frac{(-7) \pm\left\sqrt{(7^{2}-(4 \times 2 \times-5)\right)}}{2 \times 2}$

$x=\frac{(-7) \pm\left\sqrt{(49-(-40)\right)}}{4}$

$x=\frac{(-7) \pm\left\sqrt{(49+40)\right)}}{4}$

$x=\frac{(-7) \pm9.433}{4}$

$x=\frac{(-7) +9.433}{4}$                            $x=\frac{(-7)-9.433}{4}$

$x=\frac{(2.433}{4}$ =                                $x=\frac{(-7)-9.433}{4}$

$x=\frac{(2.433}{4}$                                   $x=\frac{16.433}{4}$

x=0 0.608                                                             x= 4.107

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