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notsponge [240]
3 years ago
10

A student solved the equation 2x+2=10 using algebra tiles. She incorrectly says the solution is 6 . Solve the equation. What mis

take might the student have​ made?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
7 0

Answer:

she added 2 instead of subtracting it. the answer is x=4

Step-by-step explanation:

10+2=12

12/2=6

enot [183]3 years ago
3 0

Answer:

Step-by-step explanation:

2x+2=10 subtract 2 from each side

2x=8 divide each side by 2

x=4 is the correct solution.

Her error was most likely subtracting 2 from the left and adding 2 to the right

2x+2=10

2x=12

x=6

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sladkih [1.3K]

Answer:

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

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Step-by-step explanation:

considering the equation

2x^2\:-\:4x\:-\:3\:=\:x

solving

2x^2\:-\:4x\:-\:3\:=\:x

2x^2-4x-3-x=x-x

2x^2-5x-3=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

solving

x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5+\sqrt{49}}{2\cdot \:2}

x=\frac{5+7}{4}

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also solving

x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5-\sqrt{49}}{4}

x=-\frac{2}{4}

x=-\frac{1}{2}

Therefore,

                 \mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

                  x=3,\:x=-\frac{1}{2}

7 0
3 years ago
Xy - 11 = 5 show the direct variation expalin your reasoning
Vedmedyk [2.9K]
Hey there, Lets solve this one by one 

Firstly, a<span>dd </span>11<span> to both sides 

</span>xy=5+11 
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</span>xy=16 
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Finally, d</span><span>ivide both sides by variable </span><span>y 

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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