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3 years ago

Solve the equation give your simplified answer

Mathematics

1 answer:

timofeeve [1]3 years ago

3 0

Answer:

-16/5

Step-by-step explanation:

Perform the indicated multiplication. We get:

7x + 7 = 1 - 10 + 2x.

Next, combine like terms: combine the x terms and combine the constants:

5x = -16

Dividing both sides by 5, we get the solution x = -16/5

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3 years ago

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3 years ago

What is the completely factored form of d4 -8d2 + 16

irinina [24]

According to Vieta's Formulas, if $x_1,x_2$ are solutions of a given quadratic equation:

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$a(x-x_1)(x-x_2)$ is the completely factored form of $ax^2+bx+c$ .

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$\displaystyle x^2-8x+16=0\\\\x_{1,2}= \frac{8\pm \sqrt{64-64} }{2}=4$

So, according to Vieta's formula, we can get:

$x^2-8x+16=(x-4)(x-4)= (x-4)^2$

But $x=d^2$ :

$d^4-8d^2+16=(d^2-4)^2=[(d+2)(d-2)]^2=(d+2)^2(d-2)^2$

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