10 grade maths
How do you solve the equation for x² - 3x = 0?
How do you solve the equation for x² - 3x = 0?
1 Answer
Askiitians Tutor Team
To solve the equation x² - 3x = 0, follow these steps:
Factor the equation: Look for common factors in the terms. In this case, both terms, x² and -3x, have x as a common factor.
So, factor out x from both terms: x(x - 3) = 0
Set each factor equal to zero: The equation now has two factors: x and (x - 3). According to the Zero Product Property, if the product of two factors is zero, then at least one of the factors must be zero. So, set each factor equal to zero:
x = 0
x - 3 = 0
Solve each equation:
From x = 0, we get x = 0.
From x - 3 = 0, solve for x:
x = 3
Conclusion: The solutions to the equation x² - 3x = 0 are x = 0 and x = 3.
Therefore, the complete solution is x = 0 or x = 3.
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