Question

Solve 5n^2=5 with the quadratic formula

Answer 1

n = 1

Explanation:

First, rearrange the equation to standard form 0 = ax² + bx + c, when everything equals 0.

5n² = 5

5n² - 5 = 0

State the variables a, b and c.

a = 5; b = 0; c = -5

Substitute a, b, and c into the quadratic formula.

`n = \frac{-b ±\sqrt{b^(2)-4ac} }{2a}`

`n = \frac{-0 ±\sqrt{0^(2)-4(5)(-5)} }{2(5)}` Substitute

`n = (√(100) )/(10)` Simplify inside the √ and bottom

`n = (10)/(10)` Simplify the top

`n = 1` Final answer

Therefore the solution is n = 1.

The quadratic formula usually is written with x, but it can be solved with any variable in standard form.