Ezkielpascuaidn
Answered

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what is the sum and product of the roots x2 - 10x + 16 = 0​

Sagot :

KanataHoshijima31idn

Answer:

Sum: 10, Product: 16

Step-by-step explanation:

We have two ways to find the sum and product of roots.

The first one is by basically just solving for the roots and finding their sum and product.

x^2 - 10x + 16 = 0

(x-8) (x-2) = 0

x = 2, 8

Sum: 10 ; Product: 16

The second one is by using a formula. The sum of the roots is -b/a. The product of the roots is c/a.

a = 1, b = -10, c = 16

Sum: -(-10) / 1 = 10

Product: 16 / 1 = 16

Regardless of the method we use, we get the same answer.

Hope this helps!

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Answer:

Sum = 10

Product = 16

Solution:

Solve the equation using quadratic formula where a = 1, b = -10 and c = 16[tex]x = \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-10)±\sqrt{-10^2-4(1)(16)} }{2(1)}[/tex]

[tex]x = \frac{10±\sqrt{100-64} }{2}[/tex]

[tex]x = \frac{10±6}{2}[/tex]

[tex]x = 8, x = 2[/tex]

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