9.4/9.5 Quiz (Square roots, completing the square, quadratic formula)

Which value of c would make the quadratic expression a perfect square trinomial? x^2+14x+c

49

Which value of c would make the quadratic expression have two real roots? (there is more than one answer) x^2+4x+c a) 0 b) 4 c) 3 d) 10 Hint: plug the values into the discriminant and see which give you a POSITIVE (not zero) discriminant!

A and C

If the discriminant of the quadratic equation is 0, there are ______ solutions.

Exactly 1 real solution

If the discriminant is greater than 0, there are _______solutions.

Exactly 2 real solutions

If the discriminant is less than 0, there are _______solutions.

No real solutions

Solve using the quadratic formula: 3x^2+4x+3=0

No real solutions

Discriminant

b^2-4ac (the part inside the square root) it tells you how many solutions there are to the quadratic equation.

Solve using the quadratic formula: 4x^2+4x+1=0

{-0.5}

Solve by completing the square x^2-6x-16=0

{-2,8}

Solve by square roots (x+1)^2+4=20

{-5,3}

Solve by completing the square x^2+12x+32=0

{-8,-4}

Solve by square roots (x-6)^2 +2 =27

{1,11}

Solve using the quadratic formula: -2x^2+4x+7=0

{3.1,-1.1}

Solve using the quadratic formula. 5x^2 - 13x - 4 = 0. Round to the nearest tenth.

The solutions are x = 2.9 and x = -0.3