Area = Length * Width = l * w
l = x + 2
w = 2x - 5
Area = (x + 2)(2x - 5) = 56
Area = 2x^2 -x - 10 = 56
Area = 2x^2 - x - 66 = 0 Now you have to factor this thing.
Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing.
2x + 11 = 0 can't work. x would be negative.
x - 6 = 0
x = 6.
Check
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l = x + 2
l = 6 + 2
l = 8
w = 2*x - 5
w = 2*6 - 5
w = 12 - 5
w = 7
l*w = 8*7 = 56. It checks.
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Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
x = 3/2
Step-by-step explanation:
Given equation is:
As we have to solve for x, x will be isolated on one side of the equation
So,
<u>1. Addition property of equality </u>
4x will be added on both sides
<u>2. Division property of Equality</u>
Dividing both sides by 6
Hence,
x = 3/2
Keywords: Linear equation, Variables
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