Find the value of x in: \sqrt75.69+\sqrt{7+x^2}{=12.7}

Powers and Roots Practice Test 3

Question : 27 of 40

Marks: +1, -0

Find the value of x in:

√75.69+√{7+x^2}{=12.7}

Solution:

√75.69+√{7+x^2}{=12.7}

8.7+√{7+x^2}{=12.7}

√{7+x^2}=4

Squaring both sides,

7+x^2=16

x^2=9

∴x=3

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