Solve (w14 15/8 4 w1 1/7 19-20)

Question

Simplify the expression

\frac{9652}{7} w^{2} - 20

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\frac{4}{7} (2413 w^{2} - 35)

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w_{1} = - \frac{84455}{2413}, w_{2} = \frac{84455}{2413}

Alternative Form

w_{1} \approx - 0.120436, w_{2} \approx 0.120436

Evaluate

(w \times 14 \frac{15}{8} \times 4 w \times 1 \frac{1}{7} \times 19 - 20)

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

w \times 14 \frac{15}{8} \times 4 w \times 1 \frac{1}{7} \times 19 - 20 = 0

Covert the mixed number to an improper fraction

More Steps

w \times \frac{127}{8} \times 4 w \times 1 \frac{1}{7} \times 19 - 20 = 0

Covert the mixed number to an improper fraction

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w \times \frac{127}{8} \times 4 w \times \frac{8}{7} \times 19 - 20 = 0

Multiply

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\frac{9652}{7} w^{2} - 20 = 0

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

\frac{9652}{7} w^{2} = 0 + 20

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

\frac{9652}{7} w^{2} = 20

Multiply by the reciprocal

\frac{9652}{7} w^{2} \times \frac{7}{9652} = 20 \times \frac{7}{9652}

Multiply

w^{2} = 20 \times \frac{7}{9652}

Multiply

More Steps

w^{2} = \frac{35}{2413}

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

w = \pm \frac{35}{2413}

Simplify the expression

More Steps

w = \pm \frac{84455}{2413}

Separate the equation into 2 possible cases

w = \frac{84455}{2413} w = - \frac{84455}{2413}

Solution

w_{1} = - \frac{84455}{2413}, w_{2} = \frac{84455}{2413}

Alternative Form

w_{1} \approx - 0.120436, w_{2} \approx 0.120436

Show Solution