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I need help on the Quadratic Formula.
1. 3x^2+12x-15=0
2. 5x^2+11x+2=0
3. 2x^2-11x+14=0
4. 2x^2-x-15=0

Sagot :

Panoyin
1. 3x² + 12x - 15 = 0
    x = -(12) +/- √((12)² - 4(3)(-15))
                             2(3)
    x = -12 +/- √(144 + 180)
                           6
    x = -12 +/- √(324)
                     6
    x = -12 +/- 18
                  6
    x = -2 + 3
    x = -2 + 3                 x = -2 - 3
    x = 1                         x = -5
--------------------------------------------------------------------------------------------
2. 5x² + 11x + 2 = 0
    x = -(11) +/- √((11)² - 4(5)(2))
                           2(5)
    x = -11 +/- √(121 - 40)
                       10
    x = -11 +/- √(81)
                  10
    x = -11 +/- 9
                10
    x = -1¹/₁₀ + ⁹/₁₀
    x = -1¹/₁₀ + ⁹/₁₀        x = -1¹/₁₀ - ⁹/₁₀
    x = ¹/₅                      x = -2
--------------------------------------------------------------------------------------------
3. 2x² - 11x + 14 = 0
    x = -(-11) +/- √((-11)² - 4(2)(14))
                             2(3)
    x = 11 +/- √(121 - 102)
                         6
    x = 11 +/- √(9)
                  6
    x = 11 +/- 3
                6
    x = 1⁵/₆ + ¹/₂
    x = 1⁵/₆ + ¹/₂          x = 1⁵/₆ - ¹/₂
    x = 2¹/₃                  x = 1¹/₃
--------------------------------------------------------------------------------------------
4. 2x² - x - 15 = 0
    x = -(-1) +/- √((-1)² - 4(2)(-15))
                            2(2)
    x = 1 +/- √(1 + 120)
                      4
    x = 1 +/- √(121)
                   4
    x = 1 +/- 11
                4
    x = ¹/₄ + 2³/₄
    x = ¹/₄ + 2³/₄          x = ¹/₄ - 2³/₄
    x = 3                      x = 2¹/₂
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