$\"\"$

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The equation is $\"\"$ .

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$\"\"$ (Original equation)

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$\"\"$ (Rewrite the equation)

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The standard form equation is $\"\"$ .

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Compare the above two equations $\"\"$ and $\"\"$ .

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a.

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Find the discriminant value.

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$\"\"$ (Formula for discriminant)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ .

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$\"\"$

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b.

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Find the number of roots.

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Since $\"\"$ and it is not a perfect square ,then it has two real, irrational roots.

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$\"\"$

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c.

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Find the roots.

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$\"\"$ (Formula for quadratic equation)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Substitute : $\"\"$ )

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$\"\"$ or $\"\"$ (Write as two equation)

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$\"\"$ or $\"\"$ (Subtract)

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$\"\"$ or $\"\"$ (Simplify)

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Therefore, the solutions are $\"\"$ and $\"\"$ .

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$\"\"$

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a. $\"\"$ .

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b. $\"\"$ it is not a perfect square ,then it has two real, irrational roots.

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c. The two real solutions are $\"\"$ and $\"\"$ .