Solve ((35-17)*(238)-5x^26):4

Question

Simplify the expression

\frac{2142 - 15 x ^{2}}{2}

Evaluate

((35 - 17) \times 238 - 5 x^{2} \times 6) \div 4

Subtract the numbers

(18 \times 238 - 5 x^{2} \times 6) \div 4

Multiply the numbers

(4284 - 5 x^{2} \times 6) \div 4

Multiply the terms

(4284 - 30 x^{2}) \div 4

Rewrite the expression

\frac{4284 - 30 x ^{2}}{4}

Factor

\frac{2 ( 2142 - 15 x ^{2} )}{4}

Solution

\frac{2142 - 15 x ^{2}}{2}

Show Solution

x_{1} = - \frac{3570}{5}, x_{2} = \frac{3570}{5}

Alternative Form

x_{1} \approx - 11.949895, x_{2} \approx 11.949895

Evaluate

((35 - 17) \times 238 - 5 x^{2} \times 6) \div 4

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

((35 - 17) \times 238 - 5 x^{2} \times 6) \div 4 = 0

Subtract the numbers

(18 \times 238 - 5 x^{2} \times 6) \div 4 = 0

Multiply the numbers

(4284 - 5 x^{2} \times 6) \div 4 = 0

Multiply the terms

(4284 - 30 x^{2}) \div 4 = 0

Divide the terms

More Steps

Evaluate

(4284 - 30 x^{2}) \div 4

Rewrite the expression

\frac{4284 - 30 x ^{2}}{4}

Factor

\frac{2 ( 2142 - 15 x ^{2} )}{4}

Reduce the fraction

\frac{2142 - 15 x ^{2}}{2}

\frac{2142 - 15 x ^{2}}{2} = 0

Simplify

2142 - 15 x^{2} = 0

Rewrite the expression

- 15 x^{2} = - 2142

Change the signs on both sides of the equation

15 x^{2} = 2142

Divide both sides

\frac{15 x ^{2}}{15} = \frac{2142}{15}

Divide the numbers

x^{2} = \frac{2142}{15}

Cancel out the common factor 3

x^{2} = \frac{714}{5}

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

x = \pm \frac{714}{5}

Simplify the expression

More Steps

Evaluate

\frac{714}{5}

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

\frac{714}{5}

Multiply by the Conjugate

\frac{714 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

714 \times 5

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

714 \times 5

Calculate the product

3570

\frac{3570}{5 \times 5}

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

\frac{3570}{5}

x = \pm \frac{3570}{5}

Separate the equation into 2 possible cases

x = \frac{3570}{5} x = - \frac{3570}{5}

Solution

x_{1} = - \frac{3570}{5}, x_{2} = \frac{3570}{5}

Alternative Form

x_{1} \approx - 11.949895, x_{2} \approx 11.949895

Show Solution