Answer:
m < -4 or m > 4
Step-by-step explanation:
B² - 4ac > 0
m² - 4(1)(4) > 0
Roots are 4, -4
m < -4 or m > 4
The interval of m will be (-∞,-4) U (4,∞).
Quadratic equations are second-degree algebraic expressions and are of the form ax2 + bx + c = 0.
Condition for two distinct real roots:
b^2 - 4ac > 0
The given quadratic equation is x^2 + mx + 4 = 0
m^2 - 16 > 0 (Condition for real and distinct roots)
(m - 4)(m + 4) > 0
Hence, m∈ (-∞,-4) U (4,∞)
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