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Question

Solve 5x26x2=0


Your Answer
A
x=35±1925
Your Answer
B
x=25±195
Correct Answer
C
x=35±195
Your Answer
D
x=35±175

Solution

The correct option is C x=35±195
In the equation, 5x26x2=0

a = 5, b = -6 and c= -2. Divide by 5 to reduce it to standard form.  

5x26x25=0

x265x25=0

Add and subtract (35)2 to complete the squares,

x265x25+(35)2(35)2=0

x22×x×35x+(35)2(35)225=0

(x35)2(35)225=0

On completing the squares, 

(x35)2=1925

Taking square root on both sides,
(x35)=±195

Thus, the roots of 5x26x2=0 are

x=35±195

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