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Squares and Square Roots

Squares and Square Roots

Squares and Square Roots: The Life Quadratic True or False

1. Which of the following is not a quadratic equation? -> x2 = -1
2. If the polynomial 4x2 + 9x + c is the square of binomial of degree 1, what is c? ->


3. The polynomial x2 + 11x + c is the square of which binomial? ->


4. How many solutions are there to the equation x2 + 12x = -36? -> more than I care to think about
5. How many solutions are there to the equation x2 – 4x = 17? -> two
6. Solve: x2 + 14x + 40 = -5. -> x = -3, x = -11
7. Solve, assuming that a, b, c are constants and c is not zero: cx2 + ax + b = 0. ->


8. Solve: 2x2 + 5x + 3 = 7. ->


9. If the quadratic equation ax2 + bx + c = 0 has discriminant 0, how many solutions does the equation have? -> oh so many
10. A student was asked to solve the equation 3x2 + 10x – 11 = 0. They wrote down the following work. 

  1.  
  2.   

Where, if anywhere, did the student make their first mistake?

-> In line 1.


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