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Question: What value of c will complete the square below () and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of .
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
Answer:
Step-by-step explanation:
Problem:
The possible values of x in the equation (60)x = 1;
Solution:
Such a problem like this in which the highest power of the unknown is 1 will have just one solution.
60x = 1
To solve this, we take the multiplicative inverse of 60;
the multiplicative inverse of 60 =
Use this inverse to multiply both sides of the expression;
60x = 1 x
x =