Solve s=14x 7x - ScanMath

Question

Function

Find the vertex

Find the axis of symmetry

Evaluate the derivative

(0, 0)

Evaluate

s = 14 x \times 7 x

Simplify

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Evaluate

14 x \times 7 x

Multiply the terms

98 x \times x

Multiply the terms

98 x^{2}

s = 98 x^{2}

Find the x -coordinate of the vertex by substituting a= 98 and b= 0 into x = - \frac{b}{2 a}

x = - \frac{0}{2 \times 98}

Solve the equation for x

x = 0

Find the y-coordinate of the vertex by evaluating the function for x = 0

s = 98 \times 0^{2}

Calculate

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Evaluate

98 \times 0^{2}

Calculate

98 \times 0

Any expression multiplied by 0 equals 0

0

s = 0

Solution

(0, 0)

Show Solution

Solve the equation

Solve for x

Solve for s

x = \frac{2 s}{14} x = - \frac{2 s}{14}

Evaluate

s = 14 x \times 7 x

Simplify

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Evaluate

14 x \times 7 x

Multiply the terms

98 x \times x

Multiply the terms

98 x^{2}

s = 98 x^{2}

Swap the sides of the equation

98 x^{2} = s

Divide both sides

\frac{98 x ^{2}}{98} = \frac{s}{98}

Divide the numbers

x^{2} = \frac{s}{98}

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

x = \pm \frac{s}{98}

Simplify the expression

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Evaluate

\frac{s}{98}

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

\frac{s}{98}

Simplify the radical expression

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Evaluate

98

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

49 \times 2

Write the number in exponential form with the base of 7

7^{2} \times 2

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

7^{2} \times 2

Reduce the index of the radical and exponent with 2

72

\frac{s}{7 2}

Multiply by the Conjugate

\frac{s \times 2}{7 2 \times 2}

Calculate

\frac{s \times 2}{7 \times 2}

Calculate

More Steps

Evaluate

s \times 2

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

s \times 2

Calculate the product

2 s

\frac{2 s}{7 \times 2}

Calculate

\frac{2 s}{14}

x = \pm \frac{2 s}{14}

Solution

x = \frac{2 s}{14} x = - \frac{2 s}{14}

Show Solution

Function

Solve the equation

Graph