If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
If $x \in (- 3, 5)$ , then number of possible values of x, is-

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The correct Answer is:C

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Updated on:21/07/2023

Class 12 MATHS FUNDAMENTAL OF MATHEMATICS

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Question 1 - Select One
If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
Sum of positive solutions is
A3
B $3 + \sqrt{7}$
C $2 + \sqrt{5}$
D2
Question 1 - Select One
If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x =
A2,2
B $\sqrt{2}, - \sqrt{2}$
C $2, + \sqrt{2}$
D $2, - 2, \sqrt{2}, - \sqrt{2}$
Question 1 - Select One
If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
Number of solution (s) of the given equation is/ are -
A1
B2
C4
Dinfinte
Question 1 - Select One
If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x is equal to
A $- 3 or$ +-sqrt3
B $\pm 5 or \sqrt{5}$
C $\pm 4 or \sqrt{4}$
D $\pm 2 or \pm \sqrt{2}$
Question 1 - Select One
If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x is equal to
A $- 3 or$ +-sqrt3
B $\pm 5 or \sqrt{5}$
C $\pm 4 or \sqrt{4}$
D $\pm 2 or \pm \sqrt{2}$

If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
If $x \in (- 3, 5)$ , then number of possible values of x, is-

The correct Answer is:C

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Knowledge Check

If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
Sum of positive solutions is

If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x =

If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
Number of solution (s) of the given equation is/ are -

If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x is equal to

If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x is equal to

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ALLEN-BASIC MATHS-Exercise(S-1)

If (5+2√6)x2−8+(5−2√6)x2−8=10,x∈R On the basis of above information, answer the following questions : If x∈(−3,5), then number of possible values of x, is-

The correct Answer is:C

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If (5+2√6)x2−8+(5−2√6)x2−8=10,x∈R On the basis of above information, answer the following questions : Sum of positive solutions is

If (5+2√6)x2−3+(5−2√6)x2−3=10, then x =

If (5+2√6)x2−8+(5−2√6)x2−8=10,x∈R On the basis of above information, answer the following questions : Number of solution (s) of the given equation is/ are -

If (5+2√6)x2−3+(5−2√6)x2−3=10, then x is equal to

If (5+2√6)x2−3+(5−2√6)x2−3=10, then x is equal to

Similar Questions

ALLEN-BASIC MATHS-Exercise(S-1)

If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
If $x \in (- 3, 5)$ , then number of possible values of x, is-

If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
Sum of positive solutions is

If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x =

If ${(5 + 2 \sqrt{6})}^{x^{2} - 8} + {(5 - 2 \sqrt{6})}^{x^{2} - 8} = 10, x \in R$
On the basis of above information, answer the following questions :
Number of solution (s) of the given equation is/ are -

If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x is equal to

If ${(5 + 2 \sqrt{6})}^{x^{2} - 3} + {(5 - 2 \sqrt{6})}^{x^{2} - 3} = 10$ , then x is equal to