Question

If the product of zeroes of the quadratic polynomial Mx

2

-4x+6 is 6, then find the value of M.​

Answer 1

Step-by-step explanation:

-4x+6=6

-4x=0

x=0/-4=0

m=0

Answer 2

Step-by-step explanation:

Given:-

Product of the zeros of a quadratic polynomial $\sf Mx^2-4x+6$ is 6

To find:-

Value of M

Solution:-

Let the zeros of the polynomial be $\sf \alpha \:,\;\beta$

Here,

• a=M
• b=-4
• c=6

As we know that

$\boxed{\sf product\:of\:zeros (\alpha\beta)=\dfrac {-c}{a}}$

ATQ,

$\\ \qquad\qquad\sf:\longmapsto \alpha\beta=6$

$\\ \qquad\qquad\sf:\longmapsto \dfrac {-c}{a}=6$

$\\ \qquad\qquad\sf:\longmapsto \dfrac {6}{M}=6$

$\\ \qquad\qquad\sf:\longmapsto {6M=6}$

$\\ \qquad\qquad\sf:\longmapsto M=\dfrac {6}{6}$

$\\ \qquad\qquad\sf:\longmapsto M=1$

$\therefore \underline{\underline{\sf M=1.}}$