Solve 9x2 12x – 24 = 0 using the quadratic formula.
1 answer:
X = about 1 or x = about -2
9x^2 + 12x - 24 is standard form: ax^2 + bx + c
quadratic formula: x = (-b ± <span>√(b^2 - 4ac)) / 2a
x = -12 </span>± <span>√(12^2 - 4(9)(-24)) / 2(9)
</span>x = -12 ± <span>√(144 - (-864) / 18
</span>x = -12 ± <span>√(144 + 864) / 18
</span>x = -12 ± <span>√(1008) / 18
</span>x = -12 ± √(1008) / 18
x = −2 ± 2√7/3
x = -2 + 2√7/3 or x = -2 - 2√7/3
x = 1.0971675407097272 or x = −<span>2.4305008740430605</span>
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