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polet [3.4K]
3 years ago
15

Solve the equation by completing the square

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

We got the quadratic equation:

x^2+8x-3=0

Solving by completing the square:

x^2+8x-3=0\\x^2+8x+16-16-3=0\\(x+4)^2-16-3=0\\(x+4)^2-19=0\\(x+4)^2=19\\x+4=\pm \sqrt{19} \\x=-4\pm \sqrt{19} \\\\x_{1} =-4+\sqrt{19} \\x_{2} =-4-\sqrt{19}

Therefore, the answer is letter C

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