Question

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

Answer 1

Answer x= -b+x√b2 -4ac

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

2a

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=  (-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