If an integer is added to its square, the sum is 90. Find the integer with the help of quadratic equation.

3x2 − 7x − 6 = 0 ⇒ 3x2 − 9x + 2x − 6 = 0 ⇒ 3x(x − 3) + 2(x − 3) = 0 ⇒ (x − 3)(3x + 2) = 0 ∵ x = 3, \(-\frac{2}{3}\) OR Since the roots are real and equal, ∴ D =...

Answer to the given question is m=0, and for  no non zero value of m the equation have equal roots..

Let the numbers be: a - 3d, a - d, a + d, a + 3d a - 3d + a - d + a + d + a + 3d...

given-: a+b=-1............ eqn ¹ ab=-4. ............. eqn ² on squaring eqn ¹ a²+b²+2ab=1 a²+b²=9 on squaring eqn ² a²b²=16 hence the eqn is x²+9x+16=0 ♥ 

Correct Answer - 1,-1,2

Since any positive integer n is of the form 2p or, 2p + 1 When n = 2p, then n2 = 4p2 = 4a where a = p2 When n = 2p + 1, then...

Let the numbers be ‘a’ and ‘b’.  Given, sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8.  ⇒ a + b = 8  ⇒ a...

Let the numbers be ‘a’ and ‘b’  Given, sum of two numbers is 18. The sum of their reciprocals is 1/4  ⇒ a + b = 18  ⇒ b = 18 – a  Also,...

1. 15  2. 16