one root of quadratic equations x square - mx -5=0 is 2 , find m
Answers
m=-1/2
after substituting the value of 2 in the equation we get the answer
Knowledge about Quadratic equations -
★ Sum of zeros of any quadratic equation is given by ➝ α+β = -b/a
★ Product of zeros of any quadratic equation is given by ➝ αβ = c/a
★ A quadratic equation have 2 roots
★ ax² + bx + c = 0 is the general form of quadratic equation
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Given that: One root of quadratic equations x²-mx-5=0 is 2.
To find: The value of m.
Solution: The value of m is 1/2
Procedure: To solve this question we just have to put 2 at the place of x, and easily we get our final result. Let's do it!
⠀⠀⠀⠀⠀⇝ x² -mx -5 = 0
⠀⠀⠀⠀⠀⇝ 2² - m(2) - 5 = 0
⠀⠀⠀⠀⠀⇝ 2 × 2 - m(2) - 5 = 0
⠀⠀⠀⠀⠀⇝ 4 - m(2) - 5 = 0
⠀⠀⠀⠀⠀⇝ 4 -2m × -2m - 5 = 0
⠀⠀⠀⠀⠀⇝ 4 +2m - 5 = 0
⠀⠀⠀⠀⠀⇝ -1 + 2m = 0
⠀⠀⠀⠀⠀⇝ 2m = 0 + 1
⠀⠀⠀⠀⠀⇝ 2m = 1
⠀⠀⠀⠀⠀⇝ m = 1/2
- Henceforth, 1/2 is the value of m.