Long rationalise surds questions pls help
1 answer:
Answer:
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Step-by-step explanation:
Noah had to rationalize the denominator of
According to him,
Solving the nominator and denominator
Noah did correctly till this point.
In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.
Hence,
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
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The number added to the polynomial by completing the square is
Explanation:
Given that the polynomial is
We need to determine the number that is added to the polynomial to complete the square.
The last term of the polynomial can be determined by dividing the term 17 by 2 and then squaring the term.
Thus, we have,
Last term =
Now, squaring the term, we have,
Last term =
Thus, the number added to the polynomial by completing the square is
In this case, the complement would be selecting a number less than or equal to 7; the probability of this occurring is
The roots of a quadratic equation depends on the discriminant .
- If
, the quadratic equation has two real distinct roots, and it crosses the x-axis twice.
- If
, the quadratic equation has one real root, and it touches the x-axis.
- If
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A quadratic equation has the following format:
It's roots are:
Thus
They are given by:
The discriminant is .
- If it is positive,
, and thus, the quadratic equation has two real distinct roots, and it crosses the x-axis twice.
- If it is zero,
, and thus, it has one real root, and touching the x-axis.
- If it is negative,
is a complex number, and thus, the roots will be complex and will not touch the x-axis.
A similar problem is given at brainly.com/question/19776811