What is the answer to 3x=xsqrt(64-x^2) ?

The answer to 3x=xsqrt(64-x^2) is x=0,x=sqrt(55),x=-sqrt(55)

Solve for x: 3x=xsqrt(64-x^2)

The solution is x=0,x=sqrt(55),x=-sqrt(55)

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3 x = x 64 - x^{2}

x = 0, x = 55, x = - 55

Decimal Notation

x = 0, x = 7.41619 \dots, x = - 7.41619 \dots

Solution steps

3 x = x 64 - x^{2}

Move

x 64 - x^{2}

to the left side

3 x - x 64 - x^{2} = 0

Factor

3 x - x 64 - x^{2} : - x (64 - x^{2} - 3)

- x (64 - x^{2} - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 64 - x^{2} - 3 = 0

Solve

64 - x^{2} - 3 = 0 : x = 55, x = - 55

x = 0, x = 55, x = - 55

Verify Solutions:

x = 0

True

, x = 55

True

, x = - 55

True

The solutions are

x = 0, x = 55, x = - 55

1.5 = 16.5 x^{- 1.38}

C^{13.8} = \frac{13 !}{8 ! ( 13 - 8 ) !}

4 x^{2} = 8

What is the answer to 3x=xsqrt(64-x^2) ?
The answer to 3x=xsqrt(64-x^2) is x=0,x=sqrt(55),x=-sqrt(55)
Solve for x: 3x=xsqrt(64-x^2)
The solution is x=0,x=sqrt(55),x=-sqrt(55)