Question

Solve the quadratic equations

(1) x² + 15x + 50 = 0

(2) a² − 5a + 6 = 0

(3) y² = y + 2

(4) 6 − p² = p

(5) 30 = b² − b

(6) 2x² = 5x − 12 = 0

(7) 6y² + y − 15 = 0

(8) 6a² + a = 5

(9) 13m = 6(m² + 1)

(10) 0.2t² − 0.04t = 0.03

Answer 1

(1)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(2)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(3)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(4)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(5)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(6)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(7)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(8)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(9)

This equation can be solved as:

Hence, the roots of the quadratic equation are

(10)

Multiplying both sides of the quadratic equation by 100, we get:

Hence, the roots of the quadratic equation are