Q3 of 65 Page 4

Let us determine the power of the variable for which the equation x6 – x3 –2 = 0 will become a quadratic equation?

The given expression is

Let x3 = k


It can be written as


We see that it is of the form where a,b,c are real numbers.


Therefore, the equation is quadratic for the power of variable = 3


More from this chapter

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1

I write the quadratic polynomials from the following polynomials by understanding it.

i. x2 – 7x + 2


ii. 7x5 – x(x + 2)


iii. 2x (x+5) + 1


iv. 2x – 1

 2

Which of the following equations can be written in the form of ax2 + bx + c = 0, where a, b, c are real numbers and a ≠ 0, let us write it.

i.


ii.


iii.


iv. (x - 2)2 = x2 – 4x + 4

4

Let us determine the value of ‘a’ for which the equation (a-2)x2 + 3x + 5=0 will not be a quadratic equation.

 4

If be expressed in the form of ax2 + bx + c = 0 (a ≠ 0), then let us determine the co-efficient of x.