Tuesday

September 30, 2014

September 30, 2014

Posted by **Candy** on Monday, June 3, 2013 at 9:57pm.

(i)Find the sum and product of its roots

(ii)show that 4m^2=25n

How to do part 2 ?

- amath -
**Reiny**, Monday, June 3, 2013 at 10:30pmYou must be studying the property of the roots of a quadratic, where

sum of roots = -b/a

product of roots = c/a

so for x^2 - mx + n

the sum of the roots = m

product of the roots = n

but you are given the roots as a and 1/4a

sum of roots = a + 1/4a = (5/4)a

product of roots = (1/4)a^2

so (5/4)a = m --- >a = 4m/5 or a2 = 16m^2/25

(1/4)a^2 = n --- a^2 = 4n

thus: 16m^2/25 = 4n

16m^2 = 100n

4m^2 = 25n

Voila!!!!

- amath -
**Candy**, Tuesday, June 4, 2013 at 1:52amohh I get it !! thanks a lot :))

**Answer this Question**

**Related Questions**

Algebra - Given the roots, 1/2 and 4, find: (A) The quadratic equation 2x^2-9x+4...

Precalculus - "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the ...

Math (Algebra) - If the ratio of the roots of the quadratic equation x^2−...

Algebra2 - Find the polynomials roots to each of the following problems: #1) x^2...

Alg 2 - By what amount does the sum of the roots exceed the product of the roots...

Algebra - The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots...

Algebra - Find the number of integer quadruples (a,b,c,d) with 0\leq a,b,c,d \...

Algebra - Find the number of integer quadruples (a,b,c,d) with 0\leq a,b,c,d \...

math - the roots of 2x^2 - 3x = 4 are a and b. find the simplest quadratic ...

Math - Suppose p and q are odd integers. (a) Show that the quadratic equation x2...