Solve 180-((9x7-5) (7x79))

Question

Simplify the expression

180 - 34839 x^{2} + 2765 x

Show Solution

x_{1} = \frac{395 - 667945}{9954}, x_{2} = \frac{395 + 667945}{9954}

Alternative Form

x_{1} \approx - 0.042423, x_{2} \approx 0.121788

Evaluate

180 - ((9 x \times 7 - 5) (7 x \times 79))

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

180 - ((9 x \times 7 - 5) (7 x \times 79)) = 0

Multiply the terms

180 - ((63 x - 5) (7 x \times 79)) = 0

Multiply the terms

180 - ((63 x - 5) \times 553 x) = 0

Multiply the terms

180 - 553 x (63 x - 5) = 0

Calculate

More Steps

180 - 34839 x^{2} + 2765 x = 0

Rewrite in standard form

- 34839 x^{2} + 2765 x + 180 = 0

Multiply both sides

34839 x^{2} - 2765 x - 180 = 0

Substitute a= 34839,b= - 2765 and c= - 180 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{2765 \pm ( - 2765 ) ^{2} - 4 \times 34839 ( - 180 )}{2 \times 34839}

Simplify the expression

x = \frac{2765 \pm ( - 2765 ) ^{2} - 4 \times 34839 ( - 180 )}{69678}

Simplify the expression

More Steps

x = \frac{2765 \pm 276 5 ^{2} + 25084080}{69678}

Simplify the radical expression

More Steps

x = \frac{2765 \pm 7 667945}{69678}

Separate the equation into 2 possible cases

x = \frac{2765 + 7 667945}{69678} x = \frac{2765 - 7 667945}{69678}

Simplify the expression

More Steps

x = \frac{395 + 667945}{9954} x = \frac{2765 - 7 667945}{69678}

Simplify the expression

More Steps

x = \frac{395 + 667945}{9954} x = \frac{395 - 667945}{9954}

Solution

x_{1} = \frac{395 - 667945}{9954}, x_{2} = \frac{395 + 667945}{9954}

Alternative Form

x_{1} \approx - 0.042423, x_{2} \approx 0.121788

Show Solution