Find the value of the greater root of x² - 13x + 12 = 0.

Solution:

A quadratic equation is an algebraic expression of the second degree in x. 

The standard form of a quadratic equation is ax² + bx + c = 0, 

where a, b are the coefficients, 

x is the variable, and 

c is the constant term. 

The given quadratic equation is

x² - 13x + 12 = 0

By splitting the middle term

x² - x - 12x + 12 = 0

Taking out the common terms

x (x - 1) - 12 (x - 1) = 0

(x - 1) (x - 12) = 0

So we get

x - 1 = 0 and x - 12 = 0

x = 1 and x = 12

Therefore, the value of the greater root is 12.

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Find the value of the greater root of x² - 13x + 12 = 0.

Summary:

The value of the greater root of x² - 13x + 12 = 0 is 12.