Q17 of 39 Page 91

Solve the following for x :

(2 a + b + 2x)(x) = – ab

2 x² + (2 a + b) x + ab = 0

We know that the solution of equation ax² + bx + c = 0 is given by:

For our equation, a = 2, b = (2 a + b) and c = ab

Applying the value in the formula we get,

Now we get that, x = = –b/2 or

We have, x = = – a

So the two solutions of x are –b/2 and – a

If one root the quadratic equation 2x² + kx – 6 = 0 is 2. Find the value of "k" and also find the other root.

The sum of any two natural numbers is 8. Find the numbers if the sum of their reciprocals is 8/15.

Solve for x: ; x ≠ 0, –1, 2.

Find the two consecutive numbers whose squares have the sum 85. Find the two number using the quadratic formula.