Question

if roots of an equation x^2+(m+4) +4(x+4) =0 are equal them m=____ ? ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Hey mate..!!!❣️

here's ur answer =>

Quadratic equation = x2 + (m+4)x + 4x+16

Comparing with ax2 + bx + c

a = 1

b = m+4

c = 4(x+4) = 4x+16

Now,

for equal roots,

for equal roots,

∆ = 0

b2 - 4ac = 0

(m+4)^2 - 4(1)(4)(16) = 0

(m2 + 8m + 16) - (256) = 0

m2 + 8m + 16 - 256 = 0

m2 + 8m - 240 = 0

m2 - 12m + 20m - 240 = 0

m(m - 12) + 20(m - 12) = 0

(m - 12)(m + 20) = 0

m - 12 = 0 m + 20 = 0

m = 12. m = -20.

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