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3 years ago

Please help! Will give BRAINLIESTwith to the first correct answer!

Mathematics

1 answer:

Ahat [919]3 years ago

6 0

Answer:

x=8

Step-by-step explanation:

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Solve the quadratic equation by completing the square.<br> x²–2x-12=0

inn [45]

Answer:

$(x-1)^2-13=0$

$x = \sqrt{13}+1$

Step-by-step explanation:

Completing the square is a method of rewriting a quadratic equation in the standard form such that it is in vertex form. The first step is to group the linear and quadratic terms, then factor out the coefficient of the quadratic term. After doing so, complete the square, add a value such that the linear and quadratic terms form a perfect square trinomial. Do not forget to balance the equation. The final step is to simplify.

$x^2-2x-12=0$

Group,

$(x^2-2x)-12=0$

Complete the square,

$(x^2-2x+1)-12-1=0$

Simplify,

$(x-1)^2-13=0$

Now solve the equation using inverse operations,

$(x-1)^2-13=0\\\\(x-1)^2=13\\\\x-1=\sqrt{13}\\\\x = \sqrt{13}+1$

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3 years ago

Hurry plz!!!!

Anit [1.1K]

Think of the inequalities as equations in the form of y=Mx+b. Notice how choices C and D match the line shown in the graph if they are seen as linear functions. Now look at the inequality. Since the shaded region is below the line, y must be less than what is input. The correct answer must be choice D.
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P.S. if you found this helpful, plz leave a “thanks”. Thx!

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