What is simplify-(0.9(10))/((0.01(10)^2+1)^2) ?

The solution to simplify-(0.9(10))/((0.01(10)^2+1)^2) is -9/4

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simplify-(0.9(10))/((0.01(10)^2+1)^2)

simplify

- \frac{0.9 ( 10 )}{( 0.01 ( 10 ) ^{2} + 1 ) ^{2}}

- \frac{9}{4}

Decimal Notation

- 2.25

Solution steps

- \frac{0.9 ( 10 )}{( 0.01 \cdot 1 0 ^{2} + 1 ) ^{2}}

Apply rule:

(a) = a

(10) = 10

= - \frac{0.9 \cdot 10}{( 0.01 \cdot 1 0 ^{2} + 1 ) ^{2}}

(0.01 \cdot 1 0^{2} + 1)^{2} = 4

= - \frac{0.9 \cdot 10}{4}

Factor the number:

10 = 2 \cdot 5

= - \frac{0.9 \cdot 2 \cdot 5}{4}

Factor the number:

4 = 2 \cdot 2

= - \frac{0.9 \cdot 2 \cdot 5}{2 \cdot 2}

Cancel the common factor:

2

= - \frac{0.9 \cdot 5}{2}

- \frac{0.9 \cdot 5}{2} = - \frac{9}{4}

= - \frac{9}{4}

4 x^{2} - 14 x - 8 = 0

x^{2} - 5 ∣ x ∣ + 6 = 0

- 5 n + 3 (6 + 7 n)

\frac{x - 5}{4} > 1

9 + 10 d = 1

What is simplify-(0.9(10))/((0.01(10)^2+1)^2) ?
The solution to simplify-(0.9(10))/((0.01(10)^2+1)^2) is -9/4