Solve 4x^23-5x-76=3-x^2

Evaluate

4 x^{2} \times 3 - 5 x - 76 = 3 - x^{2}

Multiply the terms

12 x^{2} - 5 x - 76 = 3 - x^{2}

Move the expression to the left side

13 x^{2} - 5 x - 79 = 0

Substitute a= 13,b= - 5 and c= - 79 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 13 ( - 79 )}{2 \times 13}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 13 ( - 79 )}{26}

Simplify the expression

More Steps

x = \frac{5 \pm 4133}{26}

Separate the equation into 2 possible cases

x = \frac{5 + 4133}{26} x = \frac{5 - 4133}{26}

Solution

x_{1} = \frac{5 - 4133}{26}, x_{2} = \frac{5 + 4133}{26}

Alternative Form

x_{1} \approx - 2.280324, x_{2} \approx 2.664939

Solve the quadratic equation