How do you solve #sqrt(5x+14)=9# algebraically and graphically?

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Answer 1 · 2017-11-05T08:23:34

x = 13.4 is our solution. enter image source here

We have

#sqrt(5*x+14) = 9#

Step 1

Square both sides of the equation.

#( 5*x + 14) = 81#

Step 2

#5*x = 67#

Step 3

#x = 13.4#

This is our required solution.

When we refer to the graph, we find that graph{sqrt(5*x + 14) = 9, has an intersection point (13.4, 9).