Question

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

Answer 1

x = -1 ± √6 / 5

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±
`√(b^2 - 4 (ac))`/ 2a

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

-2±
`√(2^2 - 4(5 - 1))`/ 2 ⋅ 5

Simplify.

x = -2 ± 2
`√(6)`/ 10

x = -1 ±
`√(6)`/ 5

Exact Form:

x = -1 ±
`√(6)`/ 5