The discriminant of the quadratic equation 2x² – 3x – 5 = 0 is :
The difference of the squares of two positive numbers is 180. The square of the smaller number is 8 times the greater number. Find the two numbers.
Find the value(s) of k for which the equation 2x² + kx + 3 = 0 has real and equal roots. Hence, find the roots of the equations so obtained.
The sum of areas of two squares is 2650 cm². If the sum of their perimeters is 280 cm, find the sides of the two given squares.
Express the equation 1/x – 1/(x – 2) = 3, (x ≠ 0, 2) as a quadratic equation in standard form. Hence, find the roots of the quadratic equation so obtained.
Find two consecutive odd integers, sum of whose squares is 290.
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