What value of c would make the left hand side of this equation a perfect square trinomial?

x^2-8x+c =13 please

3 answers

To make the left hand side of the equation a perfect square trinomial, we need to find the value of c that completes the square.

To find the value of c, we need to take half of the coefficient of x, square it, and add it to both sides of the equation.

In this case, the coefficient of x is -8, so half of -8 is -4. Squaring -4 gives us 16.

Adding 16 to both sides of the equation, we get:

x^2 - 8x + 16 = 13 + 16
x^2 - 8x + 16 = 29

Now, the left hand side of the equation is a perfect square trinomial with a value of c = 16.
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