Solve the equation by completing the square. 0=4x^2-72x
2 answers:
Answer:
Step-by-step explanation:
First we need to make sure that the leading coefficient is a 1. Ours is a 4, so we need to factor it out, leaving us with
To complete the square, take half the linear term, square it, then add it to both sides. But don't forget about that 4 hanging around out front, refusing to be ignored. Our linear term is 18. Half of 18 is 9, and 9 squared is 81. Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:
To solve this, we need to get the x terms all by themselves. So let's divide both sides by 4 to get
The process of completing the square created a perfect square binomial on the left. We will state this binomial now:
We isolate the x term by taking the square root of both sides:
x - 9 = ±9
From that we have 2 equations:
x - 9 = 9 and x - 9 = -9
Which means that x = 18 or x = 0
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Using scientific notation, it is found that:
67 ns = s
A number in scientific notation is given by:
With the base being .
In this problem, the amount is of 67 ns.
Each ns has seconds, hence:
We want the base between 1 and 10(exclusive), hence, we move the decimal digit one digit to the left and add one to the exponent, and the representation is:
67 ns = s
You can learn more about scientific notation at brainly.com/question/16394306