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} © Algebra House
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