Mathematics, 20.08.2019 03:30, HaJEReMY5170

Let a=x^2+4. use a to find the solutions for the following equation: (x^2+4)^2+32=12x^2+48. which one of the following are solutions for x? select any/all that apply. -8, -2, 4, 0, 2, -4, 8

Let a=x^2+4. use a to find the solutions for the following equation: (x^2+4)^2+32=12x^2+48. which o

Answers: 2

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answered: KariSupreme

-2,0,2

Step-by-step explanation:

The given equation is:

$(x^2+4)^{2}+32=12x^2+48$

⇒ $(x^2+4)^{2}+32=12(x^2+4)$

Substituting (x^2+4)=a in the above equation, we get

⇒ $a^{2}+32=12a$

⇒ a^2-12a+32=0

⇒ a^2-4a-8a+32=0

⇒ a(a-4)-8(a-4)=0

⇒ (a-8)(a-4)=0

⇒ a=8,4

Now, (x^2+4)=a , then substituting the value of a in this equation,

$x^{2}+4=8$ and x^2+4=4

⇒ $x^{2}+4=8$

⇒ $x={\pm}2$ and

⇒ $x^{2}+4=4$

⇒ x=0

Thus, the value of x are -2,0 and 2.

answered: Guest

x=half

step-by-step explanation:

answered: Guest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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Let a=x^2+4. use a to find the solutions for the following equation: (x^2+4)^2+32=12x^2+48. which o...