Solving Quadratic Equation:
The quadratic equation can be solved using the quadratic formula
x = -b ± √b² - 4ac where x = -15/2 or -7.5 and x = 15/2 or 7.5.
2a
Solutions:
Given the quadratic equation 4x² - 225 = 0, identify a, b, c.
a = 4
b = 0
c = -225
Using the quadratic formula: x = -b ± √b² - 4ac a = 4, b = 0, and c = -225,
2a
Solve for x.
x = -(0) ± √(0)² - 4(4)(-225)
2(4)
x = 0 ± √0 - 16(-225)
8
x = ± √-16(-225)
8
x = ± √3600
8
x = ± 60/8
x = 60/8 and x = -60/8
Therefore,
x = 7.5 and x = -7.5
Keywords: quadratic equation, quadratic formula
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