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:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (-5, 0)
Point (-9, -8)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [Slope Formula]:
- [Fraction] Subtract/Add:
- [Fraction] Divide:
<u>Answer:</u>
BC = 18 cm
<u>Step-by-step explanation:</u>
As we can see from the diagram:
AB + BC + CD = AD
⇒ 10 cm + BC + 11 cm = 39 cm
⇒ BC + 21 cm = 39 cm
⇒ BC = 39 cm - 21 cm
⇒ BC = 18 cm
The problem ask to find the longest side of the triangle ABC if the longest side of triangle DEF measures 40 units and the best answer among the choices is letter B. 4 units. I hope you are satisfied with my answer and feel free to ask for more .
Answer: C
Step-by-step explanation: a^2 + b^2 = c^2
A. 6^2 + 8^2 = 10^2
B. 12^2 + 35^2 = 37^2
C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52 10^2 = 100)
D. 10^2 + 24^2 = 26^2
