Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Algebraic identities
Answer: 125. (a + b)² = a² + 2ab + b², so a² + b² = 13² − 2 × 22 = 169 − 44 = 125.
Question 2 · Quadratic equations
Answer: 8. x² − 12x + 32 = (x − 8)(x − 4) = 0, so the roots are 8 and 4. The larger is 8.
Question 3 · Arithmetic progressions
Answer: 178. nth term = a + (n − 1)d = 7 + 19 × 9 = 178.
Question 4 · Linear equations
Answer: 10. Add the two equations: 2x = 17 + 3 = 20, so x = 10.
Question 5 · Trigonometry
Answer: 1/2. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 90° − cos 60° = 1/2.
A teacher can help you master the topics above. Contacting teachers on TeacherCircle is free.