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natulia [17]
3 years ago
6

Solve x2-8x=3 by completing the square. which is the solution set of the equation

Mathematics
2 answers:
erik [133]3 years ago
8 0
<span><span>x2-8x=3</span> </span>Two solutions were found :<span><span> x =(8-√76)/2=4-√<span> 19 </span>= -0.359</span><span> x =(8+√76)/2=4+√<span> 19 </span>= 8.359</span></span>

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by <span>  "x^2". </span>

Mazyrski [523]3 years ago
5 0

we have

x^{2}-8x=3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2}-8x+16=3+16

x^{2}-8x+16=19

Rewrite as perfect squares

(x-4)^{2}=19

(x-4)^{2}=19\\ (x-4)=(+/-)\sqrt{19} \\ \\ x1=4+\sqrt{19} =8.359\\ x2=4-\sqrt{19} =-0.359

therefore

the answer is

x1=4+\sqrt{19} =8.359\\x2=4-\sqrt{19} =-0.359

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