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2 years ago

Simplify 9/4 using fractions.

Mathematics

1 answer:

seropon [69]2 years ago

8 0

First to Answer:

The answer is 2 1/4

Have a great day!

Work:

9 divided by 4 is 2.25.

0.25 is equivalent to 1/4 and 2.00 is equivalent to 2.

put those together and you get 2 1/4.

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${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

Let's calculate its discriminant :

$\qquad \sf \dashrightarrow \: 4 {u}^{2} + 16u + 41 = 40$

$\qquad \sf \dashrightarrow \: 4 {u}^{2} + 16u + 41 - 40 = 0$

$\qquad \sf \dashrightarrow \: 4 {u}^{2} + 16u + 1 = 0$

Here, if we equate it with general equation,

a = 4

b = 16

c = 1

$\qquad \sf \dashrightarrow \: disciminant = {b}^{2} - 4ac$

$\qquad \sf \dashrightarrow \: d = (16) {}^{2} - (4 \times 4 \times 1)$

$\qquad \sf \dashrightarrow \: d = (16) {}^{2} - (16)$

$\qquad \sf \dashrightarrow \: d = 16(16 - 1)$

$\qquad \sf \dashrightarrow \: d = 16(15)$

$\qquad \sf \dashrightarrow \: d = 240$

Now, since discriminant is positive ; it has two real roots ~

The roots are :

$\qquad \sf \dashrightarrow \: u = \dfrac{ - b \pm \sqrt{ d } }{2a}$

$\qquad \sf \dashrightarrow \: u = \dfrac{ - 16\pm \sqrt{ 240 } }{2 \times 4}$

$\qquad \sf \dashrightarrow \: u = \dfrac{ - 16\pm 4\sqrt{ 15 } }{8}$

$\qquad \sf \dashrightarrow \: u = \dfrac{ 4(- 4\pm \sqrt{ 15 }) }{8}$

$\qquad \sf \dashrightarrow \: u = \dfrac{ - 4\pm \sqrt{ 15 } }{2}$

So, the required roots are :

$\qquad \sf \dashrightarrow \: u = \dfrac{ - 4 - \sqrt{ 15 } }{2} \: \: and \: \: \dfrac{ - 4 + \sqrt{15} }{2}$

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1 year ago

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Simplify 9/4 using fractions. ​

Simplify 9/4 using fractions.