Solve c9510c6-6 - ScanMath

Question

Simplify the expression

57060 c^{2} - 6

Evaluate

c \times 9510 c \times 6 - 6

Solution

More Steps

Evaluate

c \times 9510 c \times 6

Multiply the terms

c^{2} \times 9510 \times 6

Multiply the terms

c^{2} \times 57060

Use the commutative property to reorder the terms

57060 c^{2}

57060 c^{2} - 6

Show Solution

6 (9510 c^{2} - 1)

Evaluate

c \times 9510 c \times 6 - 6

Multiply

More Steps

Evaluate

c \times 9510 c \times 6

Multiply the terms

c^{2} \times 9510 \times 6

Multiply the terms

c^{2} \times 57060

Use the commutative property to reorder the terms

57060 c^{2}

57060 c^{2} - 6

Solution

6 (9510 c^{2} - 1)

Show Solution

c_{1} = - \frac{9510}{9510}, c_{2} = \frac{9510}{9510}

Alternative Form

c_{1} \approx - 0.010254, c_{2} \approx 0.010254

Evaluate

c \times 9510 c \times 6 - 6

To find the roots of the expression,set the expression equal to 0

c \times 9510 c \times 6 - 6 = 0

Multiply

More Steps

Multiply the terms

c \times 9510 c \times 6

Multiply the terms

c^{2} \times 9510 \times 6

Multiply the terms

c^{2} \times 57060

Use the commutative property to reorder the terms

57060 c^{2}

57060 c^{2} - 6 = 0

Move the constant to the right-hand side and change its sign

57060 c^{2} = 0 + 6

Removing 0 doesn't change the value,so remove it from the expression

57060 c^{2} = 6

Divide both sides

\frac{57060 c ^{2}}{57060} = \frac{6}{57060}

Divide the numbers

c^{2} = \frac{6}{57060}

Cancel out the common factor 6

c^{2} = \frac{1}{9510}

Take the root of both sides of the equation and remember to use both positive and negative roots

c = \pm \frac{1}{9510}

Simplify the expression

More Steps

Evaluate

\frac{1}{9510}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{9510}

Simplify the radical expression

\frac{1}{9510}

Multiply by the Conjugate

\frac{9510}{9510 \times 9510}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{9510}{9510}

c = \pm \frac{9510}{9510}

Separate the equation into 2 possible cases

c = \frac{9510}{9510} c = - \frac{9510}{9510}

Solution

c_{1} = - \frac{9510}{9510}, c_{2} = \frac{9510}{9510}

Alternative Form

c_{1} \approx - 0.010254, c_{2} \approx 0.010254

Show Solution