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Sagot :
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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