Solve q^2 + 1+3 - 9q - Socratic AI (ScanMath)

Evaluate

q^{2} + 1 + 3 - 9 q

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

q^{2} + 1 + 3 - 9 q = 0

Add the numbers

q^{2} + 4 - 9 q = 0

Rewrite in standard form

q^{2} - 9 q + 4 = 0

Substitute a= 1,b= - 9 and c= 4 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{9 \pm ( - 9 ) ^{2} - 4 \times 4}{2}

Simplify the expression

More Steps

q = \frac{9 \pm 65}{2}

Separate the equation into 2 possible cases

q = \frac{9 + 65}{2} q = \frac{9 - 65}{2}

Solution

q_{1} = \frac{9 - 65}{2}, q_{2} = \frac{9 + 65}{2}

Alternative Form

q_{1} \approx 0.468871, q_{2} \approx 8.531129

Q^2 + 1+3 9q