Question

Write the quadratic equation whose roots are -2and-3

Answer 1

Answer:

x^2+5x+6

Step-by-step explanation:

let alpha =-2. Beta =-3

Sum=alpha+beta=(-2)+(-3)=-5

Product =alpha x beta=(-2)x(-3)=6

P(x)=x^2-Sx+P=x^2-(-5)x+6=x^2+5x+6 ans

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Answer 2

Answer:

Given roots of the equation are:

-2 and - 3

As a quadratic equation has the equation in the form ax²+bx+c=0.

$And \: if \: the \: roots \: are \: \alpha \: and \: \beta .$

Then,

$( \alpha + \beta ) = \frac{ - b}{ \: a}$

$\alpha \beta = \frac{c}{a}$

Then the required quadratic equation becomes,

${x}^{2} - 5x + 6 = 0$