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WINSTONCH [101]
3 years ago
9

One number is 9 more than another. if the sum of the two numbers is 171, find the two numbers

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
Let x be the 1st number
x + 9 be the second number

Equation:
x + x+9 = 171

Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90

81 + 90 = 171
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Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

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  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

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The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

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Convert the quadratic equation into vertex form.

By completing the square,

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