Question

Solve each equation using the quadratic formula. Find the exact solution, then approximate the solution to the nearest hundredth.

8x^2 - 8x + 2 = 0

Answer 1

x=0.5

Explanation:

Given equation is :

8x²-8x+2=0

ax²+bx+c = 0 is general quadratic equation.

x = (-b±√b²-4ac) / 2a is quadratic formula to find solution of quadratic equation.

comparing general equation with quadratic equation,we get

a = 8, b= -8 and c = 2

putting above values in quadratic formula, we get

x = (-(-8)±√(-8)²-4(8)(2)) / 2(8)

x = (8±√64-64) /16

x = (8±√0) / 16

x = (8±0) / 16

x = 8/16

x = 1/2

x =0.5 is solution of 8x²-8x+2= 0.

Answer 2

`x=(1)/(2)`

Explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that the quadratic formula is:

`x=\frac{-b+/-\sqrt{b^(2)-4ac}}{2a}`

2. To solve the quadratic equation you must substitute the values. So, you have that:

`a=8\\b=-8\\c=2`

Then you have:

`x=\frac{-(-8)+/-\sqrt{(-8)^(2)-4(8)(2)}}{2(8)}`

3. Therefore, you obtain the following result:

`x=(1)/(2)`