Solve the simultaneous equations: and .
Answer and explanation
Correct answer: B.
- Step 1: Express with equal bases, which yields the linear equation .
- Step 2: Combining with the index relation for the second equation yields . Adding the two equations eliminates : , and substituting gives .
Answer
.
Why not the others: The pair gives ; the pair gives ; the pair gives .
Practise more Algebra, Quadratic Inequalities and Polynomials.
Free questions with an explanation for every one, and full timed Singapore GCE O-Level mock tests.
More Algebra, Quadratic Inequalities and Polynomials questions
- Find the range of values of for which the quadratic equation has real and distinct roots.
- The polynomial leaves a remainder of when divided by , and a remainder of when divided byβ¦
- Solve the logarithmic equation: .
- In the binomial expansion of , find the term independent of .
- The roots of the quadratic equation are and . Find the exact value of .
- Solve the inequality .