Quadratic - EQ2 - complex

Solve the quadratic equation:

2y2-8y + 12 = 0

Correct answer:

y1 = 2+1.4142135623731i
y2 = 2-1.4142135623731i

Step-by-step explanation:

2y2−8y+12=0  2y2−8y+12=0 2 ...  prime number 8=23 12=22⋅3 GCD(2,8,12)=2  y2−4y+6=0  a=1;b=−4;c=6 D=b2−4ac=42−4⋅1⋅6=−8 D<0  y1,2​=2a−b±D​​=24±−8​​=24±2−2​​ y1,2​=24±2i2​​ y1,2​=2±1.414214i y1​=2+1.4142135623731i y2​=2−1.4142135623731i  y1​=2+1.4142135623731i

Our quadratic equation calculator calculates it.

y2​=2−1.4142135623731i

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