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:
1. X > 8
2. a. X < 5
Step-by-step explanation:
1. 3x - 8 > 16
+8. +8
3x > 24
divide both sides by 3
x >8
2. 2x - 1 < 9
+1. +1
2x < 10
divide both sides by 2
x < 5
She can only but 14 movies because 18.50÷1.25= 14.8 and then 1.25×14=17.5
