QuestionAugust 24, 2025

Simplify the following. x=(-(-6)pm sqrt ((-6)^2-4(1)(6)))/(2(1)) x=square pm sqrt (square )

Simplify the following. x=(-(-6)pm sqrt ((-6)^2-4(1)(6)))/(2(1)) x=square pm sqrt (square )
Simplify the following.
x=(-(-6)pm sqrt ((-6)^2-4(1)(6)))/(2(1))
x=square pm sqrt (square )

Solution
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Answer

x = \frac{6 \pm 2\sqrt{3}}{2} Explanation 1. Simplify the expression inside the square root Calculate (-6)^2 - 4(1)(6) = 36 - 24 = 12. 2. Simplify the numerator The numerator becomes 6 \pm \sqrt{12}. 3. Simplify the square root \sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}. 4. Simplify the denominator The denominator is 2(1) = 2.

Explanation

1. Simplify the expression inside the square root<br /> Calculate $(-6)^2 - 4(1)(6) = 36 - 24 = 12$.<br />2. Simplify the numerator<br /> The numerator becomes $6 \pm \sqrt{12}$.<br />3. Simplify the square root<br /> $\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}$.<br />4. Simplify the denominator<br /> The denominator is $2(1) = 2$.
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