Solve 49(3x-1)^2-8

Question

Simplify the expression

441 x^{2} - 294 x + 41

Show Solution

x_{1} = \frac{- 2 2 + 7}{21}, x_{2} = \frac{2 2 + 7}{21}

Alternative Form

x_{1} \approx 0.198646, x_{2} \approx 0.46802

Evaluate

49 (3 x - 1)^{2} - 8

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

49 (3 x - 1)^{2} - 8 = 0

Add or subtract both sides

49 (3 x - 1)^{2} = 0 + 8

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

49 (3 x - 1)^{2} = 8

Divide both sides

\frac{49 ( 3 x - 1 ) ^{2}}{49} = \frac{8}{49}

Divide the numbers

(3 x - 1)^{2} = \frac{8}{49}

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

3 x - 1 = \pm \frac{8}{49}

Simplify the expression

More Steps

3 x - 1 = \pm \frac{2 2}{7}

Separate the equation into 2 possible cases

3 x - 1 = \frac{2 2}{7} 3 x - 1 = - \frac{2 2}{7}

Calculate

More Steps

x = \frac{2 2 + 7}{21} 3 x - 1 = - \frac{2 2}{7}

Calculate

More Steps

x = \frac{2 2 + 7}{21} x = \frac{- 2 2 + 7}{21}

Solution

x_{1} = \frac{- 2 2 + 7}{21}, x_{2} = \frac{2 2 + 7}{21}

Alternative Form

x_{1} \approx 0.198646, x_{2} \approx 0.46802

Show Solution