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padilas [110]
3 years ago
15

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

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

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

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