help,, need ko na po ipasa tomorrow
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Answer:
Equation= 15, Sum of the roots - 8, Product of the roots - 2, Discriminant=5
Step-by-step explanation:
Formulas:
standard form of the quadratic equation:
[tex]\boxed{ax^2+bx+c=0}[/tex]
where a, b and c are constants.
sum of the roots:
[tex]\boxed{x_{1}+x_{2}=\dfrac{-b}{a}}[/tex]
product of the roots:
[tex]\boxed{x_{1}\cdot x_{2}=\dfrac{c}{a} }[/tex]
discriminant
[tex]\boxed{D=b^2-4ac}[/tex]
Solution:
Solving for the constants
[tex]-8=\dfrac{-b}{a}\Longrightarrow b=8a[/tex]
[tex]-2=\dfrac{c}{a}\Longrightarrow c=-2a[/tex]
Substituting them to the quadratic equation
[tex]ax^2+8ax+(-2a)=0\\a(x^2+8x-2)=0\\x^2+8x-2=0/a\\x^2+8x-2=0[/tex]
where
a = 1, b = 8, c = -2
Solving for the discriminant
[tex]D=b^2-4ac\\D=8^2-4(1)(-2)\\D=72[/tex]
Answer:
Equation: [tex]\textsf{x}^\textsf{2}\textsf{ + 8x}-\textsf{2 = 0}[/tex]
Discriminant: [tex]\textsf{D = 72}[/tex]