Question

The equation whose roots are multiplied by 3 of those of 2x + 3x - 1 = 0 is
[ 1
a) 2x2 + 9x -9=0 b) 2x2 - 7x+6=0 c) 2x2 + 5x +7=0 d) 3x2 + 5x - 7=0
If the equations XP-X-p= 0 and x2 + 2px - 12 = 0 have a common root, then that root is​

Answer 1

Given : 2x² + 3x - 1 = 0  

To find :  an equation whose roots are multiplied by 3 of those of given equation

Solution:

2x² + 3x - 1 = 0

Let say roots are

m & n

then m + n  = -3/2

mn = -1/2

Roots of required equation

3m & 3n  

3m + 3n  = 3(m + n)  = 3(-3/2) = -9/2

3m * 3n = 9 mn  = 9 (-1/2) = -9/2

x² - (-9/2)x - 9/2 = 0

=> 2x² + 9x -  9 =  0

2x² + 9x -  9 =  0 is the required equation

Learn More:

find the value of k for which the quadratic eqn. 9x-3kx+k=0 has equal ...

https://brainly.in/question/7551749

If p and q are the roots of x2-x+1 =0 find the value of p2+q2 and p3+q3

https://brainly.in/question/8195804

Answer 2

Step-by-step explanation:

above answer is the correct answer