Question

If the roots of the equation of ax2+bx+c=0 are additive inverse to each other then b = __________​

Answer 1

Step-by-step explanation:

additive inverse ...

If the root of equation ax2+bx+C=0,are additive inverse each other then what is the relation between a,b,c. Clay6 Question

Answer 2

Given,

The roots of the equation of ax²+bx+c=0 are additive inverse to each other.

To find,

The value of b

Solution,

• We know that in a quadratic equation the formulae of the sum of the roots of the equation px²+qx+r=0 can be calculated by using formula  (-q)/p.

• The product of roots in a quadratic equation can be calculated by using the formula r/p.

• The additive inverse of any number ‘x’ is the number when added to ‘x’ gives the result as zero.

     For example,

Mathematically, the additive inverse of -3 is 3 as -3 + 3 = 0.

• Now, the sum of the roots of the equation  ax²+bx+c=0 = -b/a

• It is known that the sum of the root of the equation will be zero as the roots are the additive inverse of each other.

⇒   -b/a = 0

      Hence, b = 0

Therefore, if the roots of the equation of ax²+bx+c=0 are additive inverse to each other then b = 0.