Solve 320-36x+x^2=160

Evaluate

320 - 36 x + x^{2} = 160

Move the expression to the left side

160 - 36 x + x^{2} = 0

Rewrite in standard form

x^{2} - 36 x + 160 = 0

Substitute a= 1,b= - 36 and c= 160 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{36 \pm ( - 36 ) ^{2} - 4 \times 160}{2}

Simplify the expression

More Steps

x = \frac{36 \pm 656}{2}

Simplify the radical expression

More Steps

x = \frac{36 \pm 4 41}{2}

Separate the equation into 2 possible cases

x = \frac{36 + 4 41}{2} x = \frac{36 - 4 41}{2}

Simplify the expression

More Steps

x = 18 + 241 x = \frac{36 - 4 41}{2}

Simplify the expression

More Steps

x = 18 + 241 x = 18 - 241

Solution

x_{1} = 18 - 241, x_{2} = 18 + 241

Alternative Form

x_{1} \approx 5.193752, x_{2} \approx 30.806248

Solve the quadratic equation