10 Questions
What is the standard form of the quadratic equation 20(x+7)(x-3) = -7?
20x^2+x-41=0
Which equation is a pure quadratic equation?
x^2-11x=152
Solve the equation 7x²+2x-1=0 by completing the square.
x = -1, x = 1/7
Factorize the equation 3x²+5x+c=0.
No real roots
Derive the quadratic formula using the completing the square method.
x = (-b ± sqrt(b^2-4ac)) / 2a
What is the standard form of the quadratic equation 3x² + 7x = 0?
3x² + 7x = 0 is in the standard form of a quadratic equation.
Which equation is a pure quadratic equation?
x² - 11x = 152 is a pure quadratic equation.
Solve the equation 4 - 32x = 17x² by factorization.
4 - 32x = 17x² can be solved by factorization as (x - 4)(x - 1) = 0.
What is the solution to the equation 3y² = y(y - 5)?
The solution to 3y² = y(y - 5) is y = 0 or y = 5.
Solve the equation x² + 17x = 0 by completing the square.
The solution to x² + 17x = 0 by completing the square is x = 0 or x = -17.
This quiz covers solving quadratic equations by factorization and completing the square, as well as identifying pure quadratic equations in the standard form. Test your skills in manipulating equations and finding the solution for unknown variables.
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