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Solve: x² - 99x + 98 = 0

Solution:

Here a = coefficient of x² = 1

b = coefficient of x = -99

c = constant term = 98

For factoring a × c = 1× 98 = 98 = -1*-98, (-1) + (-98) = -99 = b.

x² - 99 x + 98 = 0

x² + (- 1 - 98)x + 98 = 0

x² – 1 x – 98 x + 98 = 0

x (x - 1) – 98 (x - 1) = 0

(x – 1) (x – 98) = 0

x = 1, 98

So, the answer is x = 1, 98.

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