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Question

Question number 5

5. Solve the following quadratic equation by using the quadratic formula :
x2 + 6 = 8x

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Solution

The given quadratic equation is, x2 + 6 = 8xx2 - 8x + 6 = 0Comparing the above equation with ax2 + bx + c = 0, we geta = 1; b = -8; c = 6Now, D = b2 - 4ac=-82 - 416=64 - 24=40 > 0Now, the roots are given by x = -b + D2a and x = -b - D2ax = 8 + 402×1 and x = 8 - 402×1x = 8 + 2102 and x = 8 - 2102x = 4 + 10 and x = 4 - 10

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