Answer:
x = -5 + [tex]\sqrt{30}[/tex] or x = -5 - [tex]\sqrt{30}[/tex]
x is about 0.4772 or x = - 10.4772
Step-by-step explanation:
Start with the equation: 2 * x^2 + 20x = 10
We can divide both sides by 2.
We get: x^2 + 10x = 5
Let us find the number to complete the square on the left side
(10/2)^2 = 5^2 = 25
Add 25 to both sides
x^2 + 10x + 25 = 5 + 25
(x + 5)^2 = 30 , now I can replace the trinomial x^2 + 10x + 25 with the binomail squared (x + 5)^2
Now we solve for x
Take square root of both sides.
x + 5 = [tex]\sqrt{30}[/tex] or x + 5 = - [tex]\sqrt{30}[/tex]
We get two equations because taking the square root of a number yields a plus and negative number.
x = -5 + [tex]\sqrt{30}[/tex] or x = -5 - [tex]\sqrt{30}[/tex]
x is about 0.4772 or x = - 10.4772
