# Roots

Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate:

Result

q =  36
x =  6

#### Solution:

$$\smash{ D=0 => D^2=0 \\~\\D^2=b^2-4aq=0 \\~\\q= \frac{ (-12)^2}{4 \cdot 1 } = 36 \\~\\x ^2 -12x +36 = 0 \\~\\x = \frac{ -(-12)}{ 2 \cdot 1} = 6 }$$

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