Simplify sqrt(x^2-16)

1 answer:

4 0

Remember for this type of question.I'm guessing you make the equation equal to 0. Then square both sides the (X ^2-16) and 0. Then the square root goes away. Then you factor it according to the difference of squares method. By taking the square root of x^2 and 16. So ultimately it turns into 2 binomials according to the difference of squares method. The simplified answer would be (X-4)(X+4)=0. To solve for x in each case, take each respective equation separately and make it equal to 0. Solve for x.

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Decide which variable to isolate. Then substitute for this variable, and solve the system x=y+4, 3x +y=16

seropon [69]

x = y + 4 is already done so we will substitute that into the other equation!

3(y + 4) + y = 16

Distribute.

3y + 12 + y = 16

Add the terms.

4y + 12 = 16

Give y its own side.

4y = 4

Divide by 4.

y = 1

Substitute this back into one of the equations.

x = 1 + 4

x = 5

The point for these 2 equations is (5, 1)

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