Question

Solve for x.

8x^2−3=2

Answer 1

8x^2=2+3

8x^2=5

x^2=5/8

x= sqrt(5/8)

Answer 2

Solving for x in the quadratic equation 8x² - 3 = 2, x = √(5/8)

To solve for x in the quadratic equation 8x² - 3 = 2, we proceed as follows

Since we have the qudratic equation 8x² - 3 = 2 to solve for x, we first add 3 to both sides of the equation. so, we have that

8x² - 3 = 2

8x² - 3 + 3 = 2 + 3

8x² - 0 = 5

8x² = 5

We now divide both sides by 8. So, we have that

8x² = 5

8x²/8 = 5/8

x² = 5/8

Finally, we take the square root of both sides of the equation. So, we have that

x² = 5/8

√x² = √(5/8)

x = √(5/8)

So, the value of x = √(5/8)