Let's first write the equation given
x²+6x-13=0
They have told us to use "Completing the square" method.
So we need write x²+6x-13 as a whole square.
x²+6x-13=0
x²+(2*3*x)-9-4 = 0
x²+(2*3*x)-3²=4
Now we can write the LHS as:
(x - 3)²=2²
Hence,
x-3 can either be 2 or -2
Now,
x - 3=2
x=5
Or,
x - 3=-2
x=1
Therefore now we know that x can either be 1 or 5. So the correct answer is Option B.
Answer:
The length of the square is 10 meters.
Step-by-step explanation:
First, you need to know that a square has four equal sides, and that finding the area of a square means multiplying one side by another side. This means that if you know the area of the square, all you have to do is find the square root of the area to find a side length. So, by using a calculator, you can find that the square root of 100 is 10, which is the length of one side of the square.
Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ± 
) / 2a
= ( - 14 ± 
) / 2
= ( - 14 ± 
) / 2
= ( - 14 ± 
) / 2
x = 
or x = 
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5
Your answer is D)16. To find the average, add up all the numbers and divivde by the number of numbers there is
