Question

Consider the equation:

Answer 1

Answer:

Answers

1) We can rewrite the equation as 64=(x−3)^2

2) The solutions to the equation are x=3±8

Answer 2

Step-by-step explanation:

1.

Subtract the coefficient from both sides, keep 55 on the same side.

${x}^{2} - 6x = 55$

Complete the square by dividing the coefficient by two and squaring it.

${x}^{2} - 6x + 9 = 55 + 9$

Use binomial to factor the left side.

$(x - 3) {}^{2} = 64$

2. Solve for x.

$(x - 3) = 8$

$x = 11$

Remeber the square root of 64 is also -8 so

$x - 3 = - 8$

$x = - 5$

So the solutions are -5 and 11