Solve (5x^32x-3)/(x-2)

Question

Simplify the expression

\frac{10 x ^{4} - 3}{x - 2}

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x = 2

Show Solution

x_{1} = - \frac{4 3000}{10}, x_{2} = \frac{4 3000}{10}

Alternative Form

x_{1} \approx - 0.740083, x_{2} \approx 0.740083

Evaluate

\frac{5 x ^{3} \times 2 x - 3}{x - 2}

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

\frac{5 x ^{3} \times 2 x - 3}{x - 2} = 0

Find the domain

More Steps

\frac{5 x ^{3} \times 2 x - 3}{x - 2} = 0, x \neq = 2

Calculate

\frac{5 x ^{3} \times 2 x - 3}{x - 2} = 0

Multiply

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\frac{10 x ^{4} - 3}{x - 2} = 0

Cross multiply

10 x^{4} - 3 = (x - 2) \times 0

Simplify the equation

10 x^{4} - 3 = 0

Move the constant to the right side

10 x^{4} = 3

Divide both sides

\frac{10 x ^{4}}{10} = \frac{3}{10}

Divide the numbers

x^{4} = \frac{3}{10}

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

x = \pm 4 \frac{3}{10}

Simplify the expression

More Steps

x = \pm \frac{4 3000}{10}

Separate the equation into 2 possible cases

x = \frac{4 3000}{10} x = - \frac{4 3000}{10}

Check if the solution is in the defined range

x = \frac{4 3000}{10} x = - \frac{4 3000}{10}, x \neq = 2

Find the intersection of the solution and the defined range

x = \frac{4 3000}{10} x = - \frac{4 3000}{10}

Solution

x_{1} = - \frac{4 3000}{10}, x_{2} = \frac{4 3000}{10}

Alternative Form

x_{1} \approx - 0.740083, x_{2} \approx 0.740083

Show Solution