x−(sqrt8x−31)=5

boitshupoO

boitshupoO

Answered question

2020-11-02

x(8x31)=5

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2020-11-03Added 84 answers

We are given: x(8x31)=5
Isolate the radican: x=5+(8x31)
x5=(8x31)
Square both sides: x210x+25=8x31
x218x+56=0
Factor the left side: (x-4)(x-14)=0
By zero product property, x=4,14
Check using x=4: 4(8(4)31)=5
41=5
4-1=5
3=/5
Check using x=14: 14(8(14)31)=5
1481=5
14-9=5
5=5
So, the only solution is: x=14

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