The correct answer of the question is {-1+√61}/ 10 or {-1-√61}/ 10 .
The given quadratic equation is 5 x²+x=3
First, we have to convert the equation in the form
ax² + bx + c = 0, then apply the quadratic formula i.e.
x = {-b±√(b²- 4ac)}/ 2a .
Now,
5 x²+x=3
⇒ 5 x²+ x - 3 = 0
Here, a = 5, b = 1 and c = -3
Now, applying quadratic formula
{-b±√(b²- 4ac)}/ 2a
= {-1±√(1²- 4 × 5 × -3)}/ (2 × 5)
= {-1±√(1 + 60)}/ 10
= {-1±√61}/ 10
= {-1+√61}/ 10 or {-1-√61}/ 10
Therefore the final answer to the given equation is is {-1+√61}/ 10 or {-1-√61}/ 10 .
Learn more about Quadratic formula here- https://brainly.com/question/1214333 "
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