Solve 45-343x^2 - ScanMath

Question

45 - 343 x^{2}

Find the roots

x_{1} = - \frac{3 35}{49}, x_{2} = \frac{3 35}{49}

Alternative Form

x_{1} \approx - 0.362209, x_{2} \approx 0.362209

Evaluate

45 - 343 x^{2}

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

45 - 343 x^{2} = 0

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

- 343 x^{2} = 0 - 45

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

- 343 x^{2} = - 45

Change the signs on both sides of the equation

343 x^{2} = 45

Divide both sides

\frac{343 x ^{2}}{343} = \frac{45}{343}

Divide the numbers

x^{2} = \frac{45}{343}

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

x = \pm \frac{45}{343}

Simplify the expression

More Steps

x = \pm \frac{3 35}{49}

Separate the equation into 2 possible cases

x = \frac{3 35}{49} x = - \frac{3 35}{49}

Solution

x_{1} = - \frac{3 35}{49}, x_{2} = \frac{3 35}{49}

Alternative Form

x_{1} \approx - 0.362209, x_{2} \approx 0.362209

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