please solve it step by step
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-x2+8x+2x-16
-x(X+8) -2(x+8)
X=8,-2
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EXPLANATION.
Equation :
⇒ 10x - x² = 16.
As we know that,
We can write equation as,
⇒ 16 + x² - 10x = 0.
⇒ x² - 10x + 16 = 0.
Factorizes the equation into middle term splits, we get.
⇒ x² - 8x - 2x + 16 = 0.
⇒ x(x - 8) - 2(x - 8) = 0.
⇒ (x - 2)(x - 8) = 0.
⇒ x = 2 and x = 8.
MORE INFORMATION.
Conjugate roots.
D = Discriminant Or b² - 4ac.
(1) If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) If D > 0.
One roots = α + √β.
Other roots = α - √β.
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