The value of expression -6-6-6-upto- is

The correct option is B 3 The given can be expressed as y=√(6+y) squaring both sides we have y^2=6+y y^2 y 6=0 (y 3)(y+2) y=3, 2 Bu ...

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Standard XII

Mathematics

Quadratic Formula for Finding Roots

The value of ...

Question

The value of expression $\sqrt{6 + \sqrt{6 + \sqrt{6 + . . . . . u p t o \infty}}}$ is

2

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Solution

The correct option is B $3$
The given can be expressed as
$y = \sqrt{6 + y}$
squaring both sides we have
$y^{2} = 6 + y$
$y^{2} - y - 6 = 0$
$(y - 3) (y + 2)$
$y = 3, - 2$
But $- 2$ is not possible Since y can't be negative
$∴ y = 3$

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The value of expression√6+√6+√6+.....upto∞ is

The correct option is B 3The given can be expressed asy=√6+ysquaring both sides we havey2=6+yy2−y−6=0(y−3)(y+2)y=3,−2But −2 is not possible Since y can't be negative∴y=3

The value of expression $\sqrt{6 + \sqrt{6 + \sqrt{6 + . . . . . u p t o \infty}}}$ is

The correct option is B $3$
The given can be expressed as
$y = \sqrt{6 + y}$
squaring both sides we have
$y^{2} = 6 + y$
$y^{2} - y - 6 = 0$
$(y - 3) (y + 2)$
$y = 3, - 2$
But $- 2$ is not possible Since y can't be negative
$∴ y = 3$