(-3)+ 32−4(1)(−10)/2\sqrt{3^2-4(1)(-10)/2}

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on Nov 15, 2024 at 6:50 am



You asked:

Evaluate the expression: −3+32−4⋅1⋅−102-3 + \sqrt{{3}^{2} - \frac{4 \cdot 1 \cdot -10}{2}}

MathBot Answer:

−3+32−4⋅1⋅−102=−3+29≈2.38516480713450403125071049154033-3 + \sqrt{{3}^{2} - \frac{4 \cdot 1 \cdot -10}{2}} = -3 + \sqrt{29} \approx 2.38516480713450403125071049154033

−3+32−4⋅1⋅−102=−3+32−4⋅1⋅−102=−3+9−4⋅1⋅−102=−3+9−4⋅1⋅−5=−3+9−4⋅−5=−3+9−−20=−3+9+20=−3+29\begin{aligned}-3 + \sqrt{{3}^{2} - \frac{4 \cdot 1 \cdot -10}{2}}&=-3 + \sqrt{3^{2} - 4 \cdot 1 \cdot \frac{-10}{2}}\\&=-3 + \sqrt{9 - 4 \cdot 1 \cdot \frac{-10}{2}}\\&=-3 + \sqrt{9 - 4 \cdot 1 \cdot -5}\\&=-3 + \sqrt{9 - 4 \cdot -5}\\&=-3 + \sqrt{9 - -20}\\&=-3 + \sqrt{9 + 20}\\&=-3 + \sqrt{29}\end{aligned}

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