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Karolina [17]
3 years ago
9

(I) x²-8x = -16(ii) x²+2x+1 = 0(iii) 4x²-24x-36=0Solve please...........​

Mathematics
1 answer:
algol133 years ago
5 0

(I)

Given equation is x²-8x = -16

⇛ x²-8x+16 = 0

⇛ x²-4x-4x+16 = 0

⇛ x(x-4)-4(x-4) = 0

⇛ (x-4)(x-4) = 0

⇛ x-4 = 0 or x-4 = 0

⇛ x = 4 or x = 4

(ii)

Given equation is x²+2x+1 = 0

⇛ x²+x+x+1 = 0

⇛ x(x+1)+1(x+1) = 0

⇛ (x+1)(x+1) = 0

⇛ x+1 = 0 or x+1 = 0

⇛ x = -1 or x = -1

(iii)

Given equation is 4x²-24x-36 = 0

⇛ 4(x²-6x-9) = 0

⇛ x²-6x-9 = 0

⇛ x²-2(x)(3) = 9

On adding 3² both sides then

⇛ x²-2(3)x)+3² = 9+9

⇛ (x-3)² = 18

⇛ (x-3) = ±√18

⇛ x-3 = ±√(2×9)

⇛ x-3 = ±3√2

⇛ x = 3±3√2

⇛ x = 3+3√2 or 3-3√2

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Step-by-step explanation:

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The bacterial cell is 6.67 x 10⁻³ times smaller than the amoeba cell.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.


Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the length of a bacterial cell is about 3 x 10⁻⁶ m, and the length of an amoeba cell is about 4.5 x 10−⁻⁴ m.

The size of the cell will be calculated as below:-

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Therefore, the bacterial cell is 6.67 x 10⁻³ times smaller than the amoeba cell.

To know more about expression follow

brainly.com/question/12592609

#SPJ1

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