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cluponka [151]
3 years ago
7

Solve for x. 6(х – 1) = 9(х + 2)

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0

6(х – 1) = 9(х + 2)

Use the distributive property on both sides:

6x - 6 = 9x + 18

Subtract 6X from both sides:

-6 = 3x + 18

Subtract 18 from both sides:

-24 = 3x

Divide both sides by 3:

x = -24 / 3

x = -8

gayaneshka [121]3 years ago
3 0
The answer for this equation is x= -8
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Factor 4x^4+7x^2-2=0
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Answer:

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

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

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p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

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