Solve 4(35-y) 2y=94 - ScanMath

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Type your math problem... 4(35-y) 2y=94

Question

Solve the quadratic equation

Solve using the quadratic formula

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Solve by completing the square

Solve using the PQ formula

y_{1} = \frac{35 - 1178}{2}, y_{2} = \frac{35 + 1178}{2}

Alternative Form

y_{1} \approx 0.338998, y_{2} \approx 34.661002

Evaluate

4 (35 - y) \times 2 y = 94

Multiply

More Steps

8 y (35 - y) = 94

Expand the expression

More Steps

280 y - 8 y^{2} = 94

Move the expression to the left side

280 y - 8 y^{2} - 94 = 0

Rewrite in standard form

- 8 y^{2} + 280 y - 94 = 0

Multiply both sides

8 y^{2} - 280 y + 94 = 0

Substitute a= 8,b= - 280 and c= 94 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{280 \pm ( - 280 ) ^{2} - 4 \times 8 \times 94}{2 \times 8}

Simplify the expression

y = \frac{280 \pm ( - 280 ) ^{2} - 4 \times 8 \times 94}{16}

Simplify the expression

More Steps

y = \frac{280 \pm 28 0 ^{2} - 3008}{16}

Simplify the radical expression

More Steps

y = \frac{280 \pm 8 1178}{16}

Separate the equation into 2 possible cases

y = \frac{280 + 8 1178}{16} y = \frac{280 - 8 1178}{16}

Simplify the expression

More Steps

y = \frac{35 + 1178}{2} y = \frac{280 - 8 1178}{16}

Simplify the expression

More Steps

y = \frac{35 + 1178}{2} y = \frac{35 - 1178}{2}

Solution

y_{1} = \frac{35 - 1178}{2}, y_{2} = \frac{35 + 1178}{2}

Alternative Form

y_{1} \approx 0.338998, y_{2} \approx 34.661002

Show Solution

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