Question

Solve the quadratic equation by using the quadratic formula. 3x^2-5x+1=4 Enter your solutions below from smallest to largest. If a solution is repeated type that answer for both values of x. If your answer is not an integer then type it as a decimal rounded to the nearest hundredth.

Answer 1

x = -0.47, x = 2.14

Explanation:

Quadratic formula is my favorite!!

Let's first take that four over to the other side

Subtract 4 from both sides

3x^2-5x-3

a = 3

b = -5

c = -3

Remember quadratic formula:
`x=(-b(+-)√(b^2-4ac) )/(2a)`

IGNORE THE A BEFORE THE ±

Plug in our a, b, and c values:
`x=(-(-5)±√(5^2-4(3)(-3)) )/(2(3))`

Simplify:
`x=(5±√(25+36) )/(6)`

Simplify some more:
`x=(5±√(61) )/(6)`

Solve:

x ≈ -0.47

x ≈ 2.14