Question

Solve the equation by completing the square. Round to the nearest hundredth. X^2 + 6x = -7

Answer 1

c -4.41,-1.59

Explanation:

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Answer 2

The given expression is:


`x^(2) +6x=-7 \\ \\ x^(2) +2(x)(3)=-7`

Adding the square of 3 to both sides, to make the left hand side of the equation a complete square, we get:


`x^(2) +2(x)(3)+ 3^(2)=-7+ 3^(2) \\ \\ (x+3)^(2)=2 \\ \\ x+3=+- √(2)`

So the values of x are:

a)
`x= √(2) - 3 = -1.59`

b)
`x= -√(2) - 3 = -4.41`