2.1 Quadratic Equations and Inequalities

Report 1 / 5

Solve quadratic equations \(18x^2+53x-35=0\) using quadratic formula method.

(A) \(\dfrac{3}{9} \, \text{or} \, -\dfrac{3}{2}\)

(B) \(\dfrac{5}{9} \, \text{or} \, -\dfrac{7}{2}\)

(D) \(\dfrac{9}{5} \, \text{or} \, -\dfrac{2}{7}\)

Difficulty Level: Easy

Report 2 / 5

Form a quadratic equations from the following roots.

\(-3\) and \(5\).

Difficulty Level: Medium

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Form a quadratic equations from the following roots.

\(-\dfrac{2}{5}\) and \(7\).

Difficulty Level: Easy

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Find the range of the values of \(x\) which satisfy the following quadratic inequality.

\(2x^2+3x-5 \ge0.\)

(A)		\(x \leq\dfrac{2}{5} \quad \text{or} \quad x \geq-1\)

(B)		\(x \leq-\dfrac{2}{5} \quad \text{or} \quad x \geq1\)

(C)		\(x \leq\dfrac{5}{2} \quad \text{or} \quad x \geq-1\)

(D)		\(x \leq-\dfrac{5}{2} \quad \text{or} \quad x \geq1\)

Difficulty Level: Medium

Report 5 / 5

Find the range of the values of \(x\) which satisfy the following quadratic inequality.

\(x^2+4x+3 \geq0.\)

Difficulty Level: Medium