Mathematics: Consider the equation startroot x plus 8 endroot equals 7 minus startroot x minus 6 endroot . squaring the left side and simplifying results in squaring the right side and simplifying results in

Consider the equation startroot x plus 8 endroot

issagirl05

15.01.2022

Squaring the left side and simplifying results in (x+8)

Squaring the right side and simplifying results in $x-14\sqrt{x-6}+43$

Step-by-step explanation:

Given equation is:

$\sqrt{x+8} =7-\sqrt{x-6}---(1)$

Squaring the left side and simplifying results in (x +8)

Squaring the right side and simplifying results in:

$=(7-\sqrt{x-6})^{2}\\\\=49-2(7)(\sqrt{x-6})+(x-6)\\\\=49-6-14\sqrt{x-6}+x\\\\=x+14\sqrt{x-6}+43$

Use them to solve (1)

$x+8=x-14\sqrt{x-6}+43\\\\14\sqrt{x-6}=35\\\\\sqrt{x-6}=2.5\\\\x-6=6.25\\\\x=0.25$

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Gutierrezarlene4595

08.06.2021

x is the number of plates which costs $5 and y is the number of $10 plates.

the equation: 5x + 10y = 900 and y=2x

by solving these two equations, x=36 and y= 72, so the total number of plates is 108

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