Question

Solve 5n^2=5 with the quadratic formula

Answer 1

Answer:

n = 1

Step-by-step 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

$n = \frac{\sqrt{100} }{10}$   Simplify inside the √ and bottom

$n = \frac{10}{10}$  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.