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2 cards from this section. Quick, good the night before a test.
Identify if the inequality x² + 2x + 3 < 0 has real roots.
Calculate the discriminant.
Is the expression (x - 4)² ≥ 0 always true?
Remember squares are always greater than or equal to zero.
What happens when the discriminant is negative in a quadratic inequality?
Remember to consider the value of the discriminant.
A perfect square expression like (x - 3)² means what regarding its values?
Think about the nature of squares.
Given the inequality 2x² - 8x + 6 < 0, determine its roots and analyze the sign of the expression.
Use the quadratic formula or factoring to find the roots.
Determine if the quadratic inequality (x + 4)² < 0 has any solutions.
Reflect on the properties of perfect squares.
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