Viet teoremi ile ikinci kökün bulunması
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Viyet teoremi və onun tərsi olan teorem. 1. $5x^2 - mx - 8 = 0$ tənliyinin köklərindən biri $2$-dir. Tənliyin digər kökünü tapın ($m$ parametrdir). A) $-0,8$ B) $0,8$ C) $1,6$ D) $16$ E) $-1,6$
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Hi Arzu, let's solve this quadratic equation together using Vieta's theorem.
Solving with Vieta's Theorem
We are given the quadratic equation 5x squared minus mx minus 8 equals 0, where one of the roots is 2.
Given: x_1 = 2
Recall Vieta's theorem, which states that for any quadratic equation in the form ax squared plus bx plus c equals 0, the product of the roots is equal to c divided by a.
The product of the roots is: x_1 \cdot x_2 = \frac{c}{a}
In our equation, we identify the coefficients: a equals 5, and c equals -8.
Now, substitute our known values into the product formula: 2 multiplied by x_2 equals -8 divided by 5.
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