Whole number can be a integer. rational number can not be a integer that is repeating.
The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
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Answer:
Step-by-step explanation:
Substitute -12 in place of x
f(-12)=-8-(-12) -> f(-12)=-8+12
You got this! good luck on your test!
Pentagons have five sides, so 5x = 20. Only value for x that makes this true is 4, so 4 cm per side.
Answer:
Width of the garden box = 4 feet
Step-by-step explanation:
Given that:
Length of garden box = 22 feet
Let,
w be the width of garden box
It is also given that:
The length of a garden box is 6 feet longer than 4 times the width.
L = 4w + 6
Putting L = 22
22 = 4w + 6
22 - 6 = 4w
4w = 16
Dividing both sides by 4
Hence,
Width of the garden box = 4 feet
