<u>Step-by-step explanation:</u>
An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign. If the quadratic polynomial = 0, it forms a quadratic equation. Therefore, the standard form of a quadratic equation can be written as: ax² + bx + c = 0 ; where x is an unknown variable, and a, b, c are constants with 'a' ≠ 0 (if a = 0, then it becomes a linear equation).An equation with a degree of 2 is a quadratic polynomial , which means having a maximum of degree 2 .
Given below are some examples of equation with a degree of 2 :
6x² + 11x - 35 = 0.
2x² - 4x - 2 = 0.
-4x² - 7x +12 = 0.
20x² -15x - 10 = 0.
x² -x - 3 = 0.
5x² - 2x - 9 = 0.
3x² + 4x + 2 = 0.
-x² +6x + 18 = 0
Answer: 6 and 7
Step-by-step explanation:
Let the numbers be x and x + 1
We can form and equation as:
2(x²) + (x+1)² = 121
2x² + (x + 1)(x + 1) = 121
2x² + x² + x + x + 1 = 121
3x² + 2x = 121 - 1
3x² + 2x = 120
3x² + 2x - 120 = 0
3x² - 18x + 20x - 120 = 0
3x(x - 6) + 20(x - 6)
Therefore, x - 6 = 0
x = 0 + 6
x = 6
The numbers are 6 and 7
Numbers are 4 and 8
<u>Step-by-step explanation:</u>
Step 1:
Let the numbers be x and y. Given that their sum is 12 and difference is 4. Form equations for this data.
⇒ x + y = 12 ------ (1)
⇒ x - y = 4 -------- (2)
Subtract eq (2) from (1)
⇒ 2x = 8
⇒ x = 4
Step 2:
Find y.
⇒ y = 12 - x = 12 - 4 = 8
I think the answer is 18!!!!!!
Answer:
Gavin was faster
Step-by-step explanation:
He was faster because his time was less than Crystal's and they were both traveling the same distance
