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Dvinal [7]
2 years ago
7

PLS SOLOVE BRAINLEST GIVEN

Mathematics
2 answers:
Alecsey [184]2 years ago
5 0

\sqrt{x(x+1)} = 0\\\\\implies x (x+1) =0\\\\\implies x = 0 ~~ \text{or}~~ x = -1

ValentinkaMS [17]2 years ago
3 0

Answer:

x =  0, -1.

Step-by-step explanation:

√(x(x+1)) = 0

If we square both sides we get

x(x + 1) = 0

so  x= 0 or x = -1.

As the equation contains a square root we need to test for extraneous solutions:

x = 0,   √(0(0 +1) = 0 so x = 0 IS a solution.

x = -1,  √(-1(-1 +1) = 0  so x = -1 IS a solution .

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The height of a triangle is 5 m less than its base. The area of the triangle is 42 m².
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A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
A = 42 m^2
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