Q81.The sum of all real values of ๐ฅ for which 3๐ฅ2 - 9๐ฅ+ 17 = 5๐ฅ2 - 7๐ฅ+ 19 is equal to ๐ฅ2 + 3๐ฅ+ 10 3๐ฅ2 + 5๐ฅ+ 12
What This Question Tests
This question tests the ability to solve an exponential equation by recognizing common terms and simplifying. It involves substituting a variable for a common base and exponent expression to reduce the problem to a quadratic equation.
Concepts Tested
Formulas Used
a^x = b^y implies (if bases same, powers equal)
Algebraic manipulation to form a quadratic equation
๐ NCERT Sections This Tests
3.23 โ The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 ร 10โ5Sโ1
Chemistry Class 11 ยท Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 ร 10โ5sโ1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
8.17 โ Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 ยท Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
13.2 โ Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 ยท Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
๐ Question Details
- Chapter
- Quadratic Equations
- Topic
- Solving exponential equations by substitution
- Year
- 2022
- Shift
- 28 Jul Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 10 Mathematics Ch 4: Quadratic Equations, Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
More from this Chapter
Q83.If the difference between the roots of the equation x2 + ax + 1 = 0 is less than โ5, then the set of possible values of a is JEE Main 2007 JEE Main Previous Year Paper (1) (โ3, 3) (2) (โ3, โ) (3) (3, โ) (4) (โโ, โ3)
Q72.The quadratic equations x2 โ6x + a = 0 and x2 โcx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is (1) 1 (2) 4 (3) 3 (4) 2
Q61.If the roots of the equation bx2 + cx + a = 0 be imaginary, then for all real values of x, the expression 3b2x2 + 6bcx + 2c2 is (1) greater than 4ab (2) less than 4ab (3) greater than โ4ab (4) less than - 4ab
Q61.The value of k for which the equation (K โ2)x2 + 8x + K + 4 = 0 has both roots real, distinct and negative is (1) 6 (2) 3 (3) 4 (4) 1