Solve 2549-2554 c*c

Question

Simplify the expression

2549 - 2554 c^{2}

Evaluate

2549 - 2554 c \times c

Solution

2549 - 2554 c^{2}

Show Solution

c_{1} = - \frac{6510146}{2554}, c_{2} = \frac{6510146}{2554}

Alternative Form

c_{1} \approx - 0.999021, c_{2} \approx 0.999021

Evaluate

2549 - 2554 c \times c

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

2549 - 2554 c \times c = 0

Multiply the terms

2549 - 2554 c^{2} = 0

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

- 2554 c^{2} = 0 - 2549

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

- 2554 c^{2} = - 2549

Change the signs on both sides of the equation

2554 c^{2} = 2549

Divide both sides

\frac{2554 c ^{2}}{2554} = \frac{2549}{2554}

Divide the numbers

c^{2} = \frac{2549}{2554}

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

c = \pm \frac{2549}{2554}

Simplify the expression

More Steps

Evaluate

\frac{2549}{2554}

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

\frac{2549}{2554}

Multiply by the Conjugate

\frac{2549 \times 2554}{2554 \times 2554}

Multiply the numbers

More Steps

Evaluate

2549 \times 2554

The product of roots with the same index is equal to the root of the product

2549 \times 2554

Calculate the product

6510146

\frac{6510146}{2554 \times 2554}

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

\frac{6510146}{2554}

c = \pm \frac{6510146}{2554}

Separate the equation into 2 possible cases

c = \frac{6510146}{2554} c = - \frac{6510146}{2554}

Solution

c_{1} = - \frac{6510146}{2554}, c_{2} = \frac{6510146}{2554}

Alternative Form

c_{1} \approx - 0.999021, c_{2} \approx 0.999021

Show Solution