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1. Solve the quadratic equation x2 - 4x =3 using completing the square.​

Sagot :

First move the constant to the other side of the equation by adding 3 to both sides...

First move the constant to the other side of the equation by adding 3 to both sides...x^2+4x=3

First move the constant to the other side of the equation by adding 3 to both sides...x^2+4x=3Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...

First move the constant to the other side of the equation by adding 3 to both sides...x^2+4x=3Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...x^2+4x+4=7, now the left side is a perfect square of the form...

First move the constant to the other side of the equation by adding 3 to both sides...x^2+4x=3Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...x^2+4x+4=7, now the left side is a perfect square of the form...(x+2)^2=7, now take the square root of both sides...

First move the constant to the other side of the equation by adding 3 to both sides...x^2+4x=3Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...x^2+4x+4=7, now the left side is a perfect square of the form...(x+2)^2=7, now take the square root of both sides...x+2=±√7, subtract 2 from both sides...

First move the constant to the other side of the equation by adding 3 to both sides...x^2+4x=3Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...x^2+4x+4=7, now the left side is a perfect square of the form...(x+2)^2=7, now take the square root of both sides...x+2=±√7, subtract 2 from both sides...x=-2±√7

First move the constant to the other side of the equation by adding 3 to both sides...x^2+4x=3Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...x^2+4x+4=7, now the left side is a perfect square of the form...(x+2)^2=7, now take the square root of both sides...x+2=±√7, subtract 2 from both sides...x=-2±√7So x=-2-√7 and -2+√7

Answer:

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