Solve 6x 87x-7 - ScanMath

Question

Simplify the expression

522 x^{2} - 7

Evaluate

6 x \times 87 x - 7

Solution

More Steps

Evaluate

6 x \times 87 x

Multiply the terms

522 x \times x

Multiply the terms

522 x^{2}

522 x^{2} - 7

Show Solution

x_{1} = - \frac{406}{174}, x_{2} = \frac{406}{174}

Alternative Form

x_{1} \approx - 0.115801, x_{2} \approx 0.115801

Evaluate

6 x \times 87 x - 7

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

6 x \times 87 x - 7 = 0

Multiply

More Steps

Multiply the terms

6 x \times 87 x

Multiply the terms

522 x \times x

Multiply the terms

522 x^{2}

522 x^{2} - 7 = 0

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

522 x^{2} = 0 + 7

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

522 x^{2} = 7

Divide both sides

\frac{522 x ^{2}}{522} = \frac{7}{522}

Divide the numbers

x^{2} = \frac{7}{522}

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

x = \pm \frac{7}{522}

Simplify the expression

More Steps

Evaluate

\frac{7}{522}

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

\frac{7}{522}

Simplify the radical expression

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Evaluate

522

Write the expression as a product where the root of one of the factors can be evaluated

9 \times 58

Write the number in exponential form with the base of 3

3^{2} \times 58

The root of a product is equal to the product of the roots of each factor

3^{2} \times 58

Reduce the index of the radical and exponent with 2

358

\frac{7}{3 58}

Multiply by the Conjugate

\frac{7 \times 58}{3 58 \times 58}

Multiply the numbers

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Evaluate

7 \times 58

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

7 \times 58

Calculate the product

406

\frac{406}{3 58 \times 58}

Multiply the numbers

More Steps

Evaluate

358 \times 58

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

3 \times 58

Multiply the terms

174

\frac{406}{174}

x = \pm \frac{406}{174}

Separate the equation into 2 possible cases

x = \frac{406}{174} x = - \frac{406}{174}

Solution

x_{1} = - \frac{406}{174}, x_{2} = \frac{406}{174}

Alternative Form

x_{1} \approx - 0.115801, x_{2} \approx 0.115801

Show Solution