Mathematics: Find the possible values of m if the equation [tex] {x}^{2} - 4mx + 4m + 8 = 0[/tex]has equal roots. solve the equation ? ?

Find the possible values of m if the equation [tex]

ninaaforever

13.03.2022

For

to have one root, we need to have the discriminant be 0. Recall that for the general quadratic polynomial,

ax^2+bx+c

the discriminant is $\Delta=b^2-4ac$ . In this case,

$\Delta=(-4m)^2-4(4m+8)=16m^2-16m-32$

Solve for

when $\Delta=0$ :

$16m^2-16m-32=0\implies m^2-m-2=0\implies (m-2)(m+1)=0$

$\implies m=2,m=-1$

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jedizoezo

24.04.2023

Akoamaow9mw hii tehe

Step-by-step explanation:

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