Question

If the roots of the quadratic equation x² + mx + 4=0 are equal, then the value of m is *
1 point
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4
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Answer 1

Answer:-

Given:-

• x² + mx + 4 = 0 are equal

To find:-

• The value of "m"

Solution:-

Consider the equation x² + mx + 4 = 0

This is in the form of ax² + bx + c = 0

The co-efficients are,

a = 1

b = m

c = 4

Δ = b² - 4ac

Δ = m² - 4(1)(4)

Δ = m² - 16

If roots are equal, then Δ = 0

∴m² - 16 = 0

⇒m² = 16

⇒m = √16

⇒m = 4

Therefore, the value of m is 4