MATH SOLVE

8 months ago

Q:
# What is the sum of the solutions of ￼x2 + 9x + 20 = 0?What is the product (or multiplication) of the solutions of 6x2 + 7x = 3?

Accepted Solution

A:

Answer:Sum of the solutions of [tex]x^2+9x+20=0[/tex] is -9.Product of the solutions of [tex]6x^2+7x=3[/tex] is [tex]-0.50[/tex]Step-by-step explanation:1. [tex]x^2+9x+20=0[/tex]Given:The expression whose sum of the solution is required is given as:[tex]x^{2} +9x+20=0[/tex]For a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] the sum of the solutions is given as:Sum = [tex]\frac{-b}{a}[/tex]Here, [tex]a=1,b=9,c=20[/tex]Therefore, the sum of the solutions = [tex]-\frac{9}{1}=-9[/tex]2. [tex]6x^2+7x=3[/tex]Rewriting the above equation in a standard quadratic equation, we get:[tex]6x^2+7x-3=0[/tex]For a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] the product of the solutions is given as:Product = [tex]\frac{c}{a}[/tex]Here, [tex]a=6,b=7,c=-3[/tex]Therefore, the product of the solutions = [tex]\frac{-3}{6}=-0.50[/tex]