Question no 1-Which of the following are quadratic equations- nbsp-x2-6x-4-0x2-1x2-5- nbsp-

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Standard X

Mathematics

Quadratic Equation

Question no 1...

Question

Question no 1
Which of the following are quadratic equations?
$x^{2} + 6 x - 4 = 0 x^{2} + \frac{1}{x^{2}} = 5$

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Solution

$We know that equation of the form of {ax}^{2} + bx + c = 0 is called a quadratic equation, where a, b and c are real numbers and a \neq 0 . (1) . x^{2} + 6 x - 4 = 0 is a quadratic equation . (2) . x^{2} + \frac{1}{x^{2}} = 5 is not a quadratic equation .$

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Similar questions

Q. Question 1
Which of the following is a quadratic equation?
(a)

x^{2} + 2 x + 1 = (4 - x)^{2} + 3

(b)

- 2 x^{2} = (5 - x) (2 x - \frac{2}{5})

(c)

(k + 1) x^{2} + \frac{3}{2} x = 7, w h e r e k - = - 1

(d)

x^{3} - x^{2} = (x - 1)^{3}

Q. An equation equivalent to the quadratic equation

x^{2} - 6 x + 5 = 0

Q. Which of the following are quadratic equation in x ?
(i)

x^{2} - x + 3 = 0

(ii)

2 x^{2} + \frac{5}{2} x - \sqrt{3} = 0

(iii)

\sqrt{2} x^{2} + 7 x + 5 \sqrt{2} = 0

(iv)

\frac{1}{3} x^{2} + \frac{1}{5} x - 2 = 0

(v)

x^{2} - 3 x - \sqrt{x} + 4 = 0

(vi)

x - \frac{6}{x} = 3

(vii)

x + \frac{2}{x} = x^{2}

(viii)

x^{2} - \frac{1}{x^{2}} = 5

(ix)

{(x + 2)}^{3} = x^{3} - 8

(x)

(2 x + 3) (3 x + 2) = 6 (x - 1) (x - 2)

(xi)

{(x + \frac{1}{x})}^{2} = 2 (x + \frac{1}{x}) + 3

Question 1
Which of the following is a quadratic equation?
(a) $x^{2} + 2 x + 1 = (4 - x)^{2} + 3$
(b) $- 2 x^{2} = (5 - x) (2 x - \frac{2}{5})$
(c) $(k + 1) x^{2} + \frac{3}{2} x = 7, w h e r e k = - 1$
(d) $x^{3} - x^{2} = (x - 1)^{3}$

Q. Which one of the following is not a quadratic equation

?

x^{2} = 6 x

ii)

x^{2} - 6 x = 30

iii)

x^{2} = 10

iv)

x = 1

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Question no 1 Which of the following are quadratic equations? x2+6x-4=0x2+1x2=5

We know that equation of the form of ax2 + bx + c = 0 is called a quadratic equation, where a, b and c are real numbers and a≠0.1. x2 + 6x - 4 = 0 is a quadratic equation.2. x2 + 1x2 = 5 is not a quadratic equation.

Question no 1
Which of the following are quadratic equations?
$x^{2} + 6 x - 4 = 0 x^{2} + \frac{1}{x^{2}} = 5$

$We know that equation of the form of {ax}^{2} + bx + c = 0 is called a quadratic equation, where a, b and c are real numbers and a \neq 0 . (1) . x^{2} + 6 x - 4 = 0 is a quadratic equation . (2) . x^{2} + \frac{1}{x^{2}} = 5 is not a quadratic equation .$