Math, asked by rhea5941, 7 months ago

guys plz do answer me for the 4th question.... irrelevant answers will be reported on the spot....​

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Answered by Priyanshu2157
0

Answer:

(x-9)(x-12)

its factors are given above

factorization numbers are 9 and 12.

thanks

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Answered by spacelover123
0

Method 1 ⇒ Factorization

Let's solve your equation step-by-step.

x^{2}-21x+108=0

Step 1: Factor left side of equation.

(x-9)(x-12)=0

Step 2: Set factors equal to 0.

x-9=0 \ or \  x-12=0

x=9 \ or \  x=12

\rule{300}{1}

Method 2 ⇒ With Quadratic Formula

Let's solve your equation step-by-step.

x^{2}-21x+108=0

For this equation: a = 1, b = -21, c = 108

1x^{2}+-21x+108=0

Step 1: Use quadratic formula with a = 1, b = -21, c = 108.

x = \dfrac{-b\± \sqrt{b^{2} - 4ac}}{2a}

x = \dfrac{-(-21)\± \sqrt{(-21)^{2} - 4(1)(108)}}{2(1)}

x = \dfrac{21\± \sqrt{441 - 4(108)}}{2}

x = \dfrac{21\± \sqrt{441 - 432}}{2}

x = \dfrac{21\± \sqrt{9}}{2}

x = \dfrac{21\± 3}{2}

x=12 \ or \  x=9

\rule{300}{1}

\bf \therefore x=9 \ or \  x=12 \ in \ the \ equation => \  x^{2}-21x+108=0

\rule{300}{1}

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