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

Question

asked Apr 17, 2020 219k views

2 Answers

Danypata · Answer 1 · 2020-04-24T04:08:13+0000

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
is to used the quadratic formula. It tells us that the solutions of the quadratic equation are

$[tex]x=  (-b\pm√(b^2-4ac))/(2a)$ [/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

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

$x=((-7) \pm\left√((49-(-40)\right)))/(4)$

$x=((-7) \pm\left√((49+40)\right)))/(4)$

$x=((-7) \pm9.433)/(4)$

x=((-7) +9.433)/(4)
x=((-7)-9.433)/(4)

x=((2.433)/(4) =
x=((-7)-9.433)/(4)

x=((2.433)/(4)
x=(16.433)/(4)

x=0 0.608 x= 4.107

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