Question

write the quadratic equation if the sum of the root is 15 and product of root is 50​

Answer 1

Answer:

x^2-15x+50 =0

Step-by-step explanation

sum of roots = -b/a=15/1                  product of roots = c/a=50/1

                         b=-15                                                         c = 50

                         a=1                                                              a =1

quadratic equation = ax^2 +bx +c =0

                                     1x^2 + (-15) x + 50 =0

                                      x^2-15x +50 =0

Answer 2

The quadratic equation is, x²-15x+50 = 0

Given : The sum of the root is 15 and product of root is 50

To find : The quadratic equation.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Now, if the sum of the roots of the quadratic equation and the product of the roots of the quadratic equation, are given, then the quadratic equation will be :

x² - (sum of roots)x + (product of roots) = 0

In this case,

• sum of roots = 15
• product of roots = 50

By, using the available data, we get :

x²-15x+,50 = 0

(This will be considered as the final result.)

Hence, the quadratic equation is, x²-15x+50 = 0