Everyone should do this derivation, because otherwise the "quadratic formula" is some sort of "magic" LOL...
ax^2+bx+c=0
x^2+bx/a+c/a=0
x^2+bx/a=-c/a
x^2+bx/a+b^2x/(4a^2)=b^2/(4a^2)-c/a
(x+b/(2a))^2=(b^2-4ac)/(4a^2)
x+b/(2a)=±√(b^2-4ac)/(2a)
x=-b/(2a)±√(b^2-4ac)/(2a)
x=(-b±√b^2-4ac)/(2a)
Answer:
x in (-oo:+oo)
x = n/m-k // - n/m-k
k-(n/m)+x = 0
k-(m^-1*n)+x = 0 // - k-(m^-1*n)
x = -(k-(m^-1*n))
x = m^-1*n-k
x = m^-1*n-k
Step-by-step explanation:
Answer:
DE = 10
Step-by-step explanation:
Here, we want to find the value of DE
we use the intersecting chord principle
That will be;
CE * ED = AE * BE
we have;
6 * DE = 5 * 12
DE = (5 * 12)/6
DE = 5 * 2
DE = 10
The sides and angles of a triangle can be determined using trigonometry ratios
The values of x, y and z are , and
<h3>How to determine the missing values of the triangle</h3>
The upper triangle is a right triangle with an angle measure of 45 degrees.
So, the value of x is:
Next, we calculate the hypotenuse (h) of the lower triangle using:
So, we have:
Take the square roots of both sides
The value of y is then calculated using the following sine ratio
Make y the subject
Evaluate
The value of z is then calculated using the following cosine ratio
Make z the subject
Evaluate
Hence, the values of x, y and z are , and
Read more about right triangles at:
brainly.com/question/14628284