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27.09.2019 •

Mathematics

What is the solution to the equation?

√2x+10 -6=2

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Ответ:

alexandraparava

06.11.2020

Mathematics

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

$x=2,\:x=-3$

Step-by-step explanation:

Considering the equation

$\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0$

solving the equation

$\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$\mathrm{Solve\:}\:4x-8=0$

4x-8=0

4x-8+8=0+8

4x=8

x=2

$\mathrm{Solve\:}\:3x+9=0$

3x+9=0

3x+9-9=0-9

3x=-9

x=-3

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

$x=2,\:x=-3$

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What is the solution to the equation? √2x+10 -6=2