Using the quadratic formula

Solve this equation using the quadratic formula.
3x² + 5x - 3 = 0

-b ± √(b² - 4ac)
--------------------- = x {the quadratic formula}
2a

a = 3, b = 5, c = -3

-5 ± √[5² - 4(3)(-3)]
-------------------------- = x {substituted into quadratic formula}
2(3) 

-5 ± √(25 + 36)
----------------------- = x {simplified under square root sign and on bottom}
6

-5 ± √61
------------ = x {added 25 and 36}
6

-5 ± 7.81
------------- ≈ x {evaluated square root of 61 and rounded}
6

≈ (-5 + 7.81)/6 or (-5 - 7.81)/6 {split using the ± sign}
≈ 2.81/6 or -12.81/6 {simplified}
x ≈ .47 or -2.14 {divided}

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