In below problems, find the equation which satisfies the condition of a simple equation.

a) $6 x + \frac{4 x}{3} + 4$

b) $2 t + 34 = 42$ .

c) $2 x^{2} + 4 x + 2 = 0$ [3 MARKS]

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Solution

Sub-parts : 1 Mark each

a) No; It is an expression not equation because it does not have an equal to sign in it.

b) Yes; It is an equation because "=” sign involves in it.

c) No; In a simple equation, the highest degree of the polynomial is one whereas here the highest power is 2.

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In below problems, find the equation which satisfies the condition of a simple equation. [3 MARKS]

a) $6 x + \frac{4 x}{3} + 4$

b) $2 t + 34 = 42$ .

c) $2 x^{2} + 4 x + 2 = 0$

Check whether the following are satisfying the condition of a simple equation? [3 MARKS]

a) $6 x + \frac{4 x}{3} + 4$

b) $2 t + 34 = 42$

c) $2 x^{2} + 4 x + 2 = 0$

6 x - 3 = 4 x + 5

is a simple equation give reason

Q. Find the solutions of the following equations which have common roots:

4 x^{4} + 12 x^{3} - x^{2} - 15 x = 0, 6 x^{4} + 13 x^{3} - 4 x^{2} - 15 x = 0

Q. Find the nature of the roots of the following quadratic equation:

3 x^{2} + 7 x + 2 = 0

{(x + 3)}^{2} + 4 x + 7 = 0

2 x^{2} - 8 x + 34 = 0

x^{2} + 2 \sqrt{3 x} - 1 = 0

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In below problems, find the equation which satisfies the condition of a simple equation. a) 6x+4x3+4 b) 2t+34=42. c) 2x2+4x+2=0 [3 MARKS]

Sub-parts : 1 Mark each a) No; It is an expression not equation because it does not have an equal to sign in it. b) Yes; It is an equation because "=” sign involves in it. c) No; In a simple equation, the highest degree of the polynomial is one whereas here the highest power is 2.

In below problems, find the equation which satisfies the condition of a simple equation.

a) $6 x + \frac{4 x}{3} + 4$

b) $2 t + 34 = 42$ .

c) $2 x^{2} + 4 x + 2 = 0$ [3 MARKS]

Sub-parts : 1 Mark each

a) No; It is an expression not equation because it does not have an equal to sign in it.

b) Yes; It is an equation because "=” sign involves in it.

c) No; In a simple equation, the highest degree of the polynomial is one whereas here the highest power is 2.