drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.

match each quadratic equation with its solution set.

$\frac{9 \pm \sqrt{33}}{4}$ $\
ightarrow$
$\frac{4 \pm \sqrt{6}}{2}$ $\
ightarrow$
$\frac{9 \pm \sqrt{89}}{4}$ $\
ightarrow$
$\frac{4 \pm \sqrt{22}}{2}$ $\
ightarrow$

tiles:
$2x^2 - 8x + 5 = 0$
$2x^2 - 10x - 3 = 0$
$2x^2 - 8x - 3 = 0$
$2x^2 - 9x - 1 = 0$
$2x^2 - 9x + 6 = 0$

Question

drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.

match each quadratic equation with its solution set.

$\frac{9 \pm \sqrt{33}}{4}$ $\
ightarrow$
$\frac{4 \pm \sqrt{6}}{2}$ $\
ightarrow$
$\frac{9 \pm \sqrt{89}}{4}$ $\
ightarrow$
$\frac{4 \pm \sqrt{22}}{2}$ $\
ightarrow$

tiles:
$2x^2 - 8x + 5 = 0$
$2x^2 - 10x - 3 = 0$
$2x^2 - 8x - 3 = 0$
$2x^2 - 9x - 1 = 0$
$2x^2 - 9x + 6 = 0$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Formula Application" ], "new_concepts": [], "current_concepts": [ "Quadratic Formula Application", "Quadratic Functions" ] } ## Apply the quadratic formula to the given equations $$ \begin{aligned} &\text{For } 2x^2 - 8x + 5 = 0:\ &x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(2)(5)}}{2(2)} = \frac{8 \pm \sqrt{64 - 40}}{4} = \frac{8 \pm \sqrt{24}}{4} = \frac{8 \pm 2\sqrt{6}}{4} = \frac{4 \pm \sqrt{6}}{2}\ \ &\text{For } 2x^2 - 8x - 3 = 0:\ &x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(2)(-3)}}{2(2)} = \frac{8 \pm \sqrt{64 + 24}}{4} = \frac{8 \pm \sqrt{88}}{4} = \frac{8 \pm 2\sqrt{22}}{4} = \frac{4 \pm \sqrt{22}}{2}\ \ &\text{For } 2x^2 - 9x + 6 = 0:\ &x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4(2)(6)}}{2(2)} = \frac{9 \pm \sqrt{81 - 48}}{4} = \frac{9 \pm \sqrt{33}}{4}\ \ &\text{For } 2x^2 - 9x - 1 = 0:\ &x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4(2)(-1)}}{2(2)} = \frac{9 \pm \sqrt{81 + 8}}{4} = \frac{9 \pm \sqrt{89}}{4} \end{aligned} $$ ## Match each solution set with its corresponding quadratic equation $$ \begin{aligned} &\frac{9 \pm \sqrt{33}}{4} \longrightarrow 2x^2 - 9x + 6 = 0\ &\frac{4 \pm \sqrt{6}}{2} \longrightarrow 2x^2 - 8x + 5 = 0\ &\frac{9 \pm \sqrt{89}}{4} \longrightarrow 2x^2 - 9x - 1 = 0\ &\frac{4 \pm \sqrt{22}}{2} \longrightarrow 2x^2 - 8x - 3 = 0 \end{aligned} $$ | Solution Set | Quadratic Equation | |---|---| | $\frac{9 \pm \sqrt{33}}{4}$ | $2x^2 - 9x + 6 = 0$ | | $\frac{4 \pm \sqrt{6}}{2}$ | $2x^2 - 8x + 5 = 0$ | | $\frac{9 \pm \sqrt{89}}{4}$ | $2x^2 - 9x - 1 = 0$ | | $\frac{4 \pm \sqrt{22}}{2}$ | $2x^2 - 8x - 3 = 0$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Formula Application" ] }

Solution Set	Quadratic Equation
\(\frac{4 \pm \sqrt{6}}{2}\)	\(2x^2 - 8x + 5 = 0\)
\(\frac{9 \pm \sqrt{89}}{4}\)	\(2x^2 - 9x - 1 = 0\)
\(\frac{4 \pm \sqrt{22}}{2}\)	\(2x^2 - 8x - 3 = 0\)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Apply the quadratic formula to the given equations

Match each solution set with its corresponding quadratic equation

Answer: