Factorise the equation x² - 9x + 18.
Factorise the equation x² - 9x + 18.
Aniket Singh , 7 Months ago
Grade
10 grade maths> Factorise the equation x² - 9x + 18....
1 AnswersAskiitians Tutor Team
To factor the quadratic equation x² - 9x + 18, we need to find two numbers that multiply to the constant term (18) and add up to the coefficient of the linear term (-9).
Identifying the Numbers
The numbers that fit these criteria are -6 and -3. This is because:
- -6 × -3 = 18
- -6 + (-3) = -9
Writing the Factored Form
Using these numbers, we can express the quadratic in its factored form:
(x - 6)(x - 3)
Final Result
Thus, the factored form of the equation x² - 9x + 18 is (x - 6)(x - 3).
Approved Last Activity: 7 Months ago
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