Step by step solution :

Step 1 :

Isolate the square source on the left hand next :

Radical currently isolated √(16/25)=x

Step 2 :

Eliminate the radical on the left hand next :

Raise both political parties to the second power(√(16/25))2=(x)2After squaring (16/25)=x2

Step 3 :

Solve the quadratic equation :

Rearranged equationx2-(16/25)=0This equation has actually two reasonable roots: x1,x2=4/5,-4/5

Step 4 :

Check that the an initial solution is exactly :

Original equation√(16/25)=xPlug in (4/5) for x√(16/25)=(4/5)Simplify√0.64=0.8Solution check !!Solution is: x=(4/5)

Step 5 :

Check that the 2nd solution is exactly :

Original equation√(16/25)=xPlug in -(4/5) for x√(16/25)=(-4/5)Simplify√0.64=-0.8Solution go not examine 0.8≠-0.8

One equipment was discovered :

x=(4/5)


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