What is the sum of the solutions to the equation (t+3)(t-357)=0 ? Choose 1 answer: (A) -360 (B) -354 (C) 354 (D) 360

Set Factors Equal: To find the sum of the solutions to the equation (t+3)(t-357)=0, we first need to set each factor equal to zero and solve for t.Solve for t: Setting the first factor equal to zero gives us t+3=0. Solving for t, we subtract 3 from both sides to get t=-3.Find Solutions: Setting the second factor equal to zero gives us t-357=0. Solving for t, we add 357 to both sides to get t=357.Calculate Sum: Now we have the two solutions to the equation: t=-3 and t=357. To find the sum of these solutions, we simply add them together: (-3) + 357.Calculating the sum gives us 354. Therefore, the sum of the solutions to the equation is 354.

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What is the sum of the solutions to the equation (t+3)(t-357)=0 ?
Choose 1 answer:
(A) -360
(B) -354
(C) 354
(D) 360

What is the sum of the solutions to the equation $(t+3)(t-357)=0$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-360$ $\newline$ (B) $-354$ $\newline$ (C) $354$ $\newline$ (D) $360$

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Algebra 2

Sum of finite series starts from 1

Full solution

Q. What is the sum of the solutions to the equation

(t+3)(t-357)=0

\newline

Choose

1

answer:

\newline

(A)

-360

\newline

(B)

-354

\newline

(C)

354

\newline

(D)

360

Set Factors Equal: To find the sum of the solutions to the equation $(t+3)(t-357)=0$ , we first need to set each factor equal to zero and solve for $t$ .
Solve for $t$ : Setting the first factor equal to zero gives us $t+3=0$ . Solving for $t$ , we subtract $3$ from both sides to get $t=-3$ .
Find Solutions: Setting the second factor equal to zero gives us $t-357=0$ . Solving for $t$ , we add $357$ to both sides to get $t=357$ .
Calculate Sum: Now we have the two solutions to the equation: $t=-3$ and $t=357$ . To find the sum of these solutions, we simply add them together: $(-3) + 357$ .
Calculate Sum: Now we have the two solutions to the equation: $t=-3$ and $t=357$ . To find the sum of these solutions, we simply add them together: $(-3) + 357$ . Calculating the sum gives us $354$ . Therefore, the sum of the solutions to the equation is $354$ .