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1.) Find the sum and product of the roots of the given quadratic equation 3x + 5x + 6 = 0.

SUM OF ROOTS_______(show solution)

PRODUCT OF ROOTS________
(show solution)​


Sagot :

1.) Find the sum and product of the roots of the given quadratic equation 3x + 5x + 6 = 0.

[tex]\huge \color{pink} {\boxed{\tt{A}}}\color {lightblue}{\boxed{\tt{N}}}\color{violet} {\boxed{\tt{S}}}\color{gold} {\boxed{\tt{W}}}\color{orange} {\boxed{\tt{E}}}\color{lime} {\boxed{\tt{R}}} \: [/tex]

[tex]\LARGE\frac\green {-3}\green{4}[/tex]

[tex]\LARGE \red {\boxed{\tt{\colorbox{pink}{SOLUTION:} }}} \: [/tex]

Step 1: Simplify both sides of the equation.

3x + 5x + 6 = 0

(3x + 5x) + (6) = 0 (Combine Like Terms)

8x + 6 = 0

Step 2: Subtract 6 from both sides.

8x + 6 − 6 = 0 − 6

8x = −6

Step 3: Divide both sides by 8.

[tex]\frac {8x}{8}[/tex] = [tex]\frac {-6}{8}[/tex]

x = [tex]\LARGE\frac\green {-3}\green{4}[/tex]

[tex]\large \pink {\boxed{\tt{\colorbox{lightblue}{❀Chloe❀} }}} \: [/tex]

X= -3/4

Step-by-step explanation:

3x + 5x + 6 = 0

8x+6=0

8x=-6

8x/8 =-6/8

X=-3/4