8. (x + 3)(x - 3) = x(4x + 5)
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Step-by-step explanation:
(x + 3)(x - 3) = x(4x + 5)
=> x(x - 3) + 3(x - 3) = 4x² + 5x
=> x² - 3x + 3x - 9 = 4x² + 5x
=> x² - 9 = 4x² + 5x
=> x² - 4x² - 5x - 9 = 0
=> - 3x² - 5x - 9 = 0
=> -(3x² + 5x + 9) = 0
=> 3x² + 5x + 9 = 0
We know,
x = -b ± √b² - 4(ac) / 2a
Using the Quadratic Formula 3x² + 5x+9=0
Substitute the values a = 3, b = 5, and
c = 9 into the quadratic formula and solve for x.
x = -5±√(5²) - 4.3.9 / 2.3
x = -5±√25 - 108 / 6
x = -5±√83 / 6
x = -5 ± 9.11 / 6
Therefore,
Either,
-5 + 9.11 / 6
x = 4.11 / 6
x = 0.685(Approx)[Answer]
And,
-5 - 9.11 / 6
x = -14.11 / 6
x = -2.351(Approx)[Answer]
Hope it helps you.
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Answer:
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