Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve [tex]5x^{2}[/tex] + 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
[tex]5x^{2}[/tex] + 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b± [tex]\sqrt{b^2 - 4 (ac)}[/tex]/ 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±[tex]\sqrt{2^2 - 4(5 - 1)}[/tex]/ 2 ⋅ 5
Simplify.
x = -2 ± 2 [tex]\sqrt{6}[/tex]/ 10
x = -1 ± [tex]\sqrt{6}[/tex]/ 5
Exact Form:
x = -1 ± [tex]\sqrt{6}[/tex]/ 5
