We know that
The square root property<span> is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span> a negative root
</span>
then
x-3=7--------> x=10
x-3=-7-------> x=-4
the answer Part a) is
x=10
x=-4
Part b) Explain why the given equation has two solutions.
the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
Answer:
the answer for this sub-question is 43/90. This is assuming your teacher wants you to write it in fraction form. If she or he wants you to write it in decimal form, then 43/90 = 0.4778 approximately which converts to 47.78%
Answer in fraction form: 43/90
Answer in decimal form: 0.4778 (round this however you are instructed to)
Answer in percent form: 47.78% (round this however you are instructed to)
Step-by-step explanation:
Answer:
1. No vertical compression or stretching but will open up downward.
2. 1/4 vertical stretch
3. 4 vertical compression
Step-by-step explanation:
Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.
So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression
2. Is the 1/4 is a vertical stretch
3. 4 is a vertical compression.
Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.
