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mnrtunes

mnrtunes

28.10.2020 •

Mathematics

Solve: sqrt(x+9) = x-3

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Ответ:

lopez7512

06.02.2022

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$\sqrt{x + 9} = x - 3$

Sides gets power 2

$({ \sqrt{x + 9} })^{2} = ( {x - 3})^{2}$

$|x + 9| = {x}^{2} - 6x + 9$

_________________________________

$x + 9 = {x}^{2} - 6x + 9$

Subtract sides 9

$x + 9 - 9 = {x}^{2} - 6x + 9 - 9$

$x = {x}^{2} - 6x$

Subtract sides x

$x - x = {x}^{2} - 6x - x$

${x}^{2} - 7x = 0$

x(x - 7) = 0

x = 0

OR

x - 7 = 0

x = 7

_________________________________

$x + 9 = - ( {x}^{2} - 6x + 9)$

$x + 9 = - {x}^{2} + 6x - 9$

Subtract sides 9

$x + 9 - 9 = - {x}^{2} + 6x - 9 - 9 \\$

$x = - {x}^{2} + 6x - 18$

Subtract sides x

$x - x = - {x}^{2} + 6x - 18 - x$

$- {x}^{2} + 5x - 18 = 0$

Multiply sides by -1

${x}^{2} - 5x + 18 = 0$

$x = No \: \: solution$

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CHECK the roots :

x = 0

$\sqrt{0 + 9} ≠0 - 3$

$\sqrt{9} ≠ - 3$

3≠ - 3

Thus (( x = 0 )) is unacceptable.

+++++++++++++++++++++++++++++++++++++++

x = 7

$\sqrt{7 + 9} = 7 - 3$

$\sqrt{16} = 4$

4 = 4

Thus (( x = 7 )) is the only solution for x.

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Done...

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Ответ:

anayamllr11

29.09.2021

73.3% take 55 multiplied by 100 and divide it by 75

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