Grade 10, Chapter (5) - Quadratic Functions

The equation 4x² – 8x – 5 = 0 has __________ .

• two real solutions

• only one real solution

• no real solution

The equation x² + 4x + 4 = 0 has ___________ .

• two real solutions

• only one real solution

• no real solution

The equation 2x² – 3x + 4 = 0 has __________ .

• two real solutions

• only one real solution

• no real solution

When b² – 4ac > 0, the graph passes through the x-axis at __________ .

• two points

• three points

• one point

• no point

The quadratic equation __________ which has solution set {1, 2}.

• x² – 3x + 2 = 0

• x² – 2x = 0

• x² – x + 2 = 0

• x² – 2 = 0

The solution set of 2x² + 8x + 8 < 0 is __________ .

• ∅

• R \ {– 2}

• {– 2}

• R

The solution set of 2x² + 8x + 8 > 0 is _________ .

• ∅

• R \ {– 2}

• {– 2}

• R

The solution set of 2x² + 8x + 8 ≤ 0 is ___________ .

• ∅

• R \ {– 2}

• {– 2}

• R

The solution set of 2x² + 8x + 8 ≥ 0 is _________ .

• ∅

• R \ {– 2}

• {– 2}

• R

Complete the square in each of the following.

x² – 6x + 9 = 0 = (x – ____ )²

• 3

• 6

• 9

• 2