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3 years ago

Solve by factoring 3x²-x-4=0

Mathematics

1 answer:

Ivenika [448]3 years ago

3 0

Answer:

( 3x + 1 ) ( x - 1)

Step-by-step explanation:

The given fraction is three 'x' to the power of two that is minus from 'x' minus from four. Simplifying that into three 'x' to the power of two. After this three minus 'x' plus four 'x' minus four. By taking common values which is three 'x' multipled by 'x' and minus one adding the entire by the value four which is further multipled by 'x' and minus one. Finally we obtain our answer that is three 'x' plus one multipled the entire by 'x' and minus one.

3x^2-x-4

3x^2

-3x+4x -4

Take common

3x ( x - 1 ) + 4 ( x - 1 )

( 3x + 1 ) ( x - 1)

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3 years ago

Read 2 more answers

PLS EXPLAIN HOW THESE SEQUNCE IS FORMED<br><br>ALL ODD NUMBERS

scoundrel [369]

Answer:

7,21,27,81,87, 261, 267....

Step-by-step explanation:

All odd number series from the given figure is

7, 21, 27, 81 , 87....

We can write this series as

7, 7 x 3 , (7x3)+6, ((7x3)+6)x3, (((7x3)+6)x3)+6....

7, 21, 21+6 , 27 x 3, 81+6...

Now, the next term of the series will be

=((((7x3)+6)x3)+6) x 3

= 87 x 3

= 261

And another term of the series will be

= 261 +6

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3 years ago

Anybody know the correct answer?

earnstyle [38]

Since $\csc^2{x}=\frac{1}{\sin^2{x}}$ and $\cot^2{x}=\frac{\cos^2{x}}{\sin^2{x}}$ , we can rewrite the right side of the equation as

$\frac{1}{\sin^2{x}}-\frac{\cos^2{x}}{\sin^2{x}} =\frac{1-\cos^2{x}}{\sin^2{x}}$

Using the identity $\sin^2{x}+\cos^2{x}=1$ , we can subtract $\cos^2{x}$ from either side to obtain the identity $\sin^2{x}=1-\cos^2{x}$

substituting that into our previous expression, the right side of our equation simply becomes

$\frac{\sin^2{x}}{\sin^2{x}}=1$

We can now write our whole equation as

$3\tan^2{x}-2=1$

Adding 2 to both sides:

$3\tan^2{x}=3$

dividing both sides by 3:

$\tan^2{x}=1$

$\tan{x}=\pm1$

When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4

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3 years ago