The factors are 17 and 3.
The given conditions are two factors of the first number, 51 such that their product is 51 and the sum is the second number 20.
let say, the factors are x and y.
therefore, we can write, x.y = 51 ... (1) and x + y = 20 .... (2)
Putting the value of x from equation (2) in equation (1) we get,
(20 - y).y = 51
or, 20y - y² = 51
or, y² - 20y + 51 = 0
or, y = 17, 3
then x = 3,17
Therefore, The factors are 17 and 3.
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Answer:
the unemployment declined during the great depression
<span>sqrt(3x+7)=x-1 </span>One solution was found : <span> x = 6
</span>Radical Equation entered :
<span> √3x+7 = x-1
</span>
Step by step solution :<span>Step 1 :</span>Isolate the square root on the left hand side :
Radical already isolated
<span> √3x+7 = x-1
</span>
<span>Step 2 :</span>Eliminate the radical on the left hand side :
Raise both sides to the second power
<span> (√3x+7)2 = (x-1)2
</span> After squaring
<span> 3x+7 = x2-2x+1
</span>
<span>Step 3 :</span>Solve the quadratic equation :
Rearranged equation
<span> x2 - 5x -6 = 0
</span>
This equation has two rational roots:
<span> {x1, x2}={6, -1}
</span>
<span>Step 4 :</span>Check that the first solution is correct :
Original equation
<span> √3x+7 = x-1
</span> Plug in 6 for x
<span> √3•(6)+7 = (6)-1
</span> Simplify
<span> √25 = 5
</span> Solution checks !!
Solution is:
<span> x = 6
</span>
<span>Step 5 :</span>Check that the second solution is correct :
Original equation
<span> √3x+7 = x-1
</span> Plug in -1 for x
<span> √3•(-1)+7 = (-1)-1
</span> Simplify
<span> √4 = -2
</span> Solution does not check
2 ≠ -2
One solution was found : <span> x = 6</span>
Answer:
12
Step-by-step explanation:
From the question, the values of x, y and z are as follows.
x=15, y=3 and z= -2
Now, we are to find the value of the expression
we substitute the values of x, y and z into the expression and simplify
Therefore, value of
Answer:
neither
Step-by-step explanation:
