We assume the two numbers are x and (x+1)
so x^2+(x+1)^2=421
x^2+(x^2+2x+1)=421
2x^2+2x-420=0
According to the formula of quadratic
x=14 or-15
cuz we know the two numbers are integers
so x=14
therefore the other number is 15
To make sure that's correct
14^2+15^2=421
Hope that helps you!!
Answer:
3 and 5, 15; 4 and 10, 20
Step-by-step explanation:
The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.
Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 1 = 3 - 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 6x + 1 = 3
- Subtract 1 on both sides: 6x = 2
- Divide 6 on both sides: x = 1/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(1/3) + 1 = 3 - 2(1/3)
- Multiply: 4/3 + 1 = 3 - 2/3
- Add/Subtract: 7/3 = 7/3
Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
Step-by-step explanation:
Let the number be x.
<u>1</u><u> </u> =8 + x
6
6×<u>1</u>=6×8+6×x
6
1=48+6x
1-48=6x
<u>-</u><u>4</u><u>7</u>=<u>6</u><u>x</u>
6. 6 x = -7 <u>5</u>
6
x is equal to minus seven whole number five divided by six.
Answer:
it is a it the first one. 7/13
