Question

What is the sum of the solutions of x2 + 9x + 20 = 0?

Answer 1

Answer:

Sum of the solutions of $x^2+9x+20=0$ is -9.

Product of the solutions of $6x^2+7x=3$ is $-0.50$

Step-by-step explanation:

1. $x^2+9x+20=0$

Given:

The expression whose sum of the solution is required is given as:

$x^{2} +9x+20=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the sum of the solutions is given as:

Sum = $\frac{-b}{a}$

Here, $a=1,b=9,c=20$

Therefore, the sum of the solutions = $-\frac{9}{1}=-9$

2. $6x^2+7x=3$

Rewriting the above equation in a standard quadratic equation, we get:

$6x^2+7x-3=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the product of the solutions is given as:

Product = $\frac{c}{a}$

Here, $a=6,b=7,c=-3$

Therefore, the product of the solutions = $\frac{-3}{6}=-0.50$