What is the value of c so that x² + 15x + c is a perfect square trinomial?
To find the value of c so that x² + 15x + c is a perfect square trinomial, we can use the formula for a perfect square trinomial which is (x + a)² = x² + 2ax + a².
In this case, x² + 15x + c should be a perfect square trinomial of the form (x + a)².
Comparing the coefficients of x in both expressions, we get:
2a = 15
Solving for a:
a = 15/2 = 7.5
Now, we know that a² = (7.5)² = 56.25
Since a² = c, the value of c is 56.25.
Therefore, the value of c so that x² + 15x + c is a perfect square trinomial is 56.25.
what is 56.25 as a fraction
56.25 as a fraction is already a decimal fraction. However, if you would like to express it as a common fraction, you can rewrite it as:
56.25 = 56 and 25/100 = 56 25/100
Then, simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 25:
56 25/100 = 56 1/4
Therefore, 56.25 as a fraction is 56 1/4.
no as a mixed fraction
56.25 as a mixed fraction is:
56.25 = 56 25/100
To simplify the fraction, you need to reduce it by dividing both the numerator and the denominator by their greatest common factor, which is 25:
56 25/100 = 56 1/4
Therefore, the mixed fraction representation of 56.25 is 56 1/4.