<u>Solution</u><u>:</u><u>-</u>
Let's find roots of x² - 3x + 2
=> x² - 3x + 2 = 0.
=> x² - x - 2x + 2 = 0.
=> x ( x - 1 ) -2 ( x - 1) = 0.
=> ( x - 1 ) ( x - 2 ) = 0.
=> x = 2, 1.
Now
- ( a + ß )² = (2+1)²=3²=9
- ( a - ß )² = ( 2 - 1 )² = 1² = 1.
So , equⁿ would be ,
=> x² - ( 9 + 1)x + 9×1=0.
<u>=> x² - 10x + 9=0.</u>
Answer:
6, 9, 12
Step-by-step explanation:
Let s be the shortest side. Using the information you're given, you can create an equation. 27= s + s+3 + 2s. Now just solve the equation. Subtract 3 from both sides. 24=4s. Divide by 4 on both sides. 6=s. So the shortest side is 6 feet long, so we add 3 to that for the one that is neither the shortest or the longest. That side is 9 feet long. We double s to get 12, which is the longest side.
Answer:
Area is 70ft
Step-by-step explanation:
Area of a triangle is A=b × h/ 2 or A=1/2×bh
Let height equal h & base equal b
So,
h=14
b=10
Solve,
A=1/2×14×10
A=1/2×140
A=70
Therefore, the area is 70 feet
Answer:
x=-1
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The answer is 1/4 because 4 is the greatest common factor (GCF) of both numbers. So you divide both numbers by 4.
4 ÷ 4 = 1
16 ÷ 4 = 4
Therefore, the answer is 1/4.