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3 years ago

What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?

Chemistry

1 answer:

Natali [406]3 years ago

8 0

Answer:

Explanation:

$2x^2+10x-48\\=2\left(x^2+5x-24\right)\\x^2+5x-24\\=\left(x^2-3x\right)+\left(8x-24\right)\\=x\left(x-3\right)+8\left(x-3\right)\\=\left(x-3\right)\left(x+8\right)\\=2\left(x-3\right)\left(x+8\right)\\2\left(x-3\right)\left(x+8\right)=0\\x-3=0\\x = 0+3\\x = 3\\x+8=0\\x+8-8=0-8\\x=-8\\x=3,\:x=-8$

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What is the [h3o+] in a solution that consists of 1.0 m nh3 and 2.5 m nh4cl? [kb (nh3) = 1.8 ×10-5]a) 1.1 × 10-5

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$\begin{array}{c|ccccccc}\text{R}&\text{NH}_3 &+&\text{H}_2\text{O}&\rightleftharpoons &{\text{NH}_4}^{+}&+&\text{OH}^{-}\\\text{I}&1.0&&&&2.5&&1.0\times 10^{-7}\\\text{C}& -x &&&& +x &&+x\\\text{E} &1.0 - x &&&&2.5+x&&1.0\times 10^{-7}+x\end{array}$ .

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$\displaystyle \text{K}_b = \frac{[{\text{NH}_4}^{+}]\cdot [{\text{OH}}^{-}]}{[\text{NH}_3]} \approx \frac{2.5\;(x + 1.0\times 10^{-7})}{1.0}$ .

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3 years ago

What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?​

What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?