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lions [1.4K]
3 years ago
11

Select ALL statements that are true about the linear equation.

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

The answers are 2 and 4

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Step-by-step explanation:

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Solve this equation. <br> Leave the answer as an improper fraction. <br> 3x^2 + 2 = 11 - x^2
Nikolay [14]

Answer:

x = \frac{3}{2}orx=-\frac{3}{2}

Step-by-step explanation:

The given Equation is

3x^{2} + 2 = 11-x^{2}   .................(i)

Adding ( x^{2} -11 ) on both sides of  (i)

3x^{2}+2+x^{2}-11 = 11-x^{2}+x^{2}-11

solving and cancelling out the terms will give

⇒ 4x^{2} -9=0  

⇒ (2x)^{2} -(3)^{2} = 0     ...................(ii)

Now we Know that

(a)^{2} -(b)^{2} = (a-b)(a+b)  

Applying this on equation (ii)

(2x-3)(2x+3)=0

This will lead us to

Either 2x-3 =0    .......(iii)        or     2x+3=0   ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

x=\frac{3}{2}

Solving equation (iv) for value of x

2x + 3 =0

adding -3 on both sides

2x -3 +3 = 0- 3

2x = -3

Cross multiplying gives

x=\frac{-3}{2}

so x=\frac{3}{2} and x=\frac{-3}{2}

7 0
3 years ago
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