Daily Math · 2026-05-26

Question 1

The sum of the roots of $x^2 - 7x + 10 = 0$ equals:

Accepted Answer

By Viète's formulas, $x_1+x_2 = -(-7) = 7$. (The product is $10$, so the roots are $2$ and $5$.)

Answer

$7$

Answer

$10$

Answer

$-7$

Answer

$3$

Question 2

The volume of the tetrahedron with vertices $(0,0,0), (3,0,0), (0,4,0), (0,0,5)$ is:

Accepted Answer

The three edges from origin are $(3,0,0), (0,4,0), (0,0,5)$. Determinant: $3 \cdot 4 \cdot 5 = 60$. Volume: $60/6 = 10$.

Answer

$5$

Answer

$10$

Answer

$30$

Answer

$60$

Question 3

For the geometric progression $1, 2, 4, 8, 16, 32, \ldots$, the sum $b_2 + b_4 + b_6$ equals:

Accepted Answer

$b_2 = 2$, $b_4 = 8$, $b_6 = 32$. The sum is $2 + 8 + 32 = 42$. (These three form a GP with first term $2$ and ratio $4$.)

Answer

$36$

Answer

$42$

Answer

$48$

Answer

$56$

Problems & worked solutions