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  • Quadratic Equations, Inequalities, and Functions
  • Solving Quadratic Equations
  • Solving by square root property

Solving by square root property

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  • Question 1:
    1 pts
    The equation x2=4x^2 = 4 has exactly one real solution.
  • Question 2:
    1 pts
    The equation x2=0x^2 = 0 has exactly one real solution.
  • Question 3:
    1 pts
    The equation x2=4x^2 = -4 has two real solutions.
  • Question 4:
    1 pts
    The equation x2=27x^2 = 27 cannot be solved using the square root property
  • Question 5:
    2 pts
    The solutions of the equation 4x2=164x^2=16 are
    x1=4,x2=4x_1 = 4, x_2 =-4
    x1=2x_1 = -2
    x1=2,x2=4x_1 =-2, x_2 =4
    x1=2,x2=2x_1 = -2, x_2 =2
  • Question 6:
    2 pts
    The solutions of the equation (x2)2=4(x-2)^2=4 are
    x1=2,x2=2x_1 = 2, x_2 =-2
    x1=2,x2=0x_1 = -2, x_2 =0
    x1=4,x2=0x_1 = 4, x_2 =0
    x1=0,x2=2x_1 = 0, x_2 =2
  • Question 7:
    3 pts
    The solutions of the equation x2=4x^2=-4 are
    x1=2,x2=2x_1 = -2, x_2 =2
    x1=2,x2=0x_1 = -2, x_2 =0
    x1=2i,x2=2x_1 = 2i, x_2 =2
    x1=2i,x2=2ix_1 = 2i, x_2 =-2i