The given expression is

49 is the square of 7 and 64 is the square of 8.
So we can write the given expression as


Let us assume the unknown number = x
Now we have to follow the details given in the question to bring out the actual equation. In this case there will be only one equation.
(x/3)^2 - (2x + 7) = 0
(x/3)^2 = 2x + 7
x^2/9 = 2x + 7
x^2 = 9(2x + 7)
x^2 = 18x + 63
x^2 - 18x = 63
This would be the final equation for the given problem. his problem needs any solver to understand the words very minutely.
Answer:
A) x = {5, 7}
B) The solutions make the equation true.
Step-by-step explanation:
<u>Part A</u>:
To solve this by factoring, you need to find factors of 35 that have a sum of -12. Since 35 is the product of two primes, the search is a short one.
35 = (-1)(-35) = (-5)(-7)
The corresponding sums are -36 and -12, so the latter factor pair is the one we want. Since the coefficient of x^2 is 1, we can use these numbers directly in the binomial factors:
x^2 -12x +35 = (x -5)(x -7) = 0
The zero product rule tells us this product is zero only when one of the factors is zero:
x -5 = 0 ⇒ x = 5
x -7 = 0 ⇒ x = 7
The two solutions are x=5 and x=7.
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<u>Part B</u>:
The solutions from part A are the x-intercepts of the graph of the quadratic expression. They are the values of x that make the quadratic expression be zero. That is, they are the values of x that make the equation true.
Answer:
right triangle
Step-by-step explanation: