Answer:
10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)
Step-by-step explanation:
The sum of the two roots is ...
... (5 -3i) +(5 +3i) = 10
In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.
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<em>How Do We Know?</em>
When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...
... (x -a)(x -b) = x² -(a+b)x +ab
Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.
Answer:
Step-by-step explanation:
he;p me with mine first and then ill help u with urs ok plzzzzz
Answer:
The inequality is 
Step-by-step explanation:
Given:
The inequality to solve is given as:
Now, in order to solve it for 'x', we need to isolate 'x' on one side of the inequality.
<em>Adding -8 on both sides, we get:</em>
<em>Dividing both sides by 6, we get:</em>
Therefore, the inequality for 'x' is given as:
So, 'x' include all the values that are greater than -1.
This is an equilateral triangle of height a√3/2 where a is the side length. So the area is ½a.a√3/2=a²√3/4.
So a²=25 and a=5cm. Therefore the perimeter is 3a=15cm.
Answer:
Step-by-step explanation:
The two numbers are 54 and 2
Their sum = 54 + 2 = 56
Their product = 54 x 2 = 108
