The algebraic representation of the statement is x + x² - yz = 0
<h3>What are algebraic expressions?</h3>
Algebraic expressions brings the idea of creating or expressing numbers using letters or alphabets without specifying their actual values.
From the information given , we have that;
- sum of x and it's square = x + x²
- Equal to y × z
Now, let's equate the expressions;
x + x² = y × z
x + x ² = yz
Let's make into quadratic form
x + x² - yz = 0
Thus, the algebraic representation of the statement is x + x² - yz = 0
Learn more about algebraic expressions here:
brainly.com/question/723406
#SPJ1
Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5
1/x + 1/y = 8
x + y = 8
6/x + 12/y = 72n
Answer:
greatest number of areas that can be created=5
Step-by-step explanation:
given data
Number of pine trees = 45
Number of oak trees = 30
solution
we want area have same number of both trees
so we get here greatest number of area
we find here greatest common factor of 45 and 30
so Prime factorization of 45 and 30 are
45 = 3 × 3 × 5
30 = 2 × 3 × 5
as here GCF = 5
so here greatest number of areas that can be created=5
