Question

Marta is solving the equation x2+x=3 by completing the square what number should be added to both sides of the equation to complete the square?

Answer 1

1/4

Explanation:

Answer 2

C = 1/4

Explanation:

When solving a quadratic equation, there are steps to follow and I'll highlight them here.

Assuming we have an equation

ax² + bx + c = 0

Step 1

If a is not equal to 1, divide all through by a

x² + bx + c = 0

Take c to the other side of the equation

x² + bx = c

Step 2

Add (b/2)² to both sides of the equation

x² + bx + (b/2)² = c + (b/2)²

In our original question,

We had x² + x = 3

a = 1 , b = 1 c = 3

Using step two, we would have

(b / 2)² = (½)² = ¼ (which is the answer)

Now back to the steps

Step 3

We factor our left side of the equation so as to have a perfect square

[x + (b/2)]² = c + (b/2)²

Step 4

Take the square root of both sides of the equation and solve for x

x + b/2 = ±√[c + (b/2)²]

The answer to the question is ¼