Question

Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.

Answer 1

Answer:

x = -1 ± √6 / 5

Step-by-step explanation:

Solve $5x^{2}$ + 2x = 1

move 1 to the left side of the equation by subtracting it from both sides.

$5x^{2}$ + 2x - 1 = 0

Use the quadratic formula to find the solutions.

-b± $\sqrt{b^2 - 4 (ac)}$/ 2a

Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x

-2±$\sqrt{2^2 - 4(5 - 1)}$/ 2 ⋅ 5

Simplify.

x = -2 ± 2 $\sqrt{6}$/ 10

x = -1 ± $\sqrt{6}$/ 5

Exact Form:

x = -1 ± $\sqrt{6}$/ 5