If 4 root of the equaction x
[tex]x ^{2} + ax – 8 = 0[/tex]
then a=

If 4 root of the equaction x
[tex]x ^{2} + ax – 8 = 0[/tex]
then a=

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2 thoughts on “<br />If 4 root of the equaction x<br />[tex]x ^{2} + ax – 8 = 0[/tex]<br />then a=<br />​”

  1. Given:

    • Quadratic Equation → x²+ax-8 = 0
    • Root of the equation = 4

    To Find:

    • Value of a

    Solution:

    Value of x = 4

    Substitute x = 4 in the Q.E

    → (4)²+a4-8 = 0

    → 16+a4-8 = 0

    → 16+a4 = 8

    → a4 = 8-16

    → a = -8/4

    → a = -2

    ∴ Value of a = 2.

    [tex]\Large{✓}[/tex]

    Hope It Helps You ✌️

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  2. a = -2

    Step-by-step explanation:

    According to the question, we are given a quadratic equation:

    x² + ax -8 = 0

    We are also given one root of the equation: 4.

    We need to find the value of a.

    Since one of its roots is 4, this implies that x = 4. Our job is to substitute the value of 4 in the given quadratic equation.

    → x² + ax – 8 = 0

    → (4)² + 4a – 8 = 0 [x = 4]

    → 16 + 4a – 8 = 0

    → 8 + 4a = 0

    → 4(2 + a) = 0

    → 2 + a = 0

    → a = -2

    Finally, we have got our value of a as -2.

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