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(x+3)^(2)-49=0
What are the solutions to the given equation?
Choose 1 answer:
(A) 
x=-4,x=-10
(B) 
x=4,x=-10
(c) 
x=4,x=10
(D) 
x=-4,x=10

(x+3)249=0 (x+3)^{2}-49=0 \newlineWhat are the solutions to the given equation?\newlineChoose 11 answer:\newline(A) x=4,x=10 x=-4, x=-10 \newline(B) x=4,x=10 x=4, x=-10 \newline(C) x=4,x=10 x=4, x=10 \newline(D) x=4,x=10 x=-4, x=10

Full solution

Q. (x+3)249=0 (x+3)^{2}-49=0 \newlineWhat are the solutions to the given equation?\newlineChoose 11 answer:\newline(A) x=4,x=10 x=-4, x=-10 \newline(B) x=4,x=10 x=4, x=-10 \newline(C) x=4,x=10 x=4, x=10 \newline(D) x=4,x=10 x=-4, x=10
  1. Simplify the factors: Next, we simplify the factors:\newline(x+10)(x4)=0(x+10)(x-4) = 0\newlineThis gives us two separate equations to solve for xx:\newlinex+10=0x+10 = 0 or x4=0x-4 = 0
  2. Solve the first equation: Now we solve each equation for xx:
    For the first equation:
    x+10=0x+10 = 0
    x=10x = -10
    For the second equation:
    x4=0x-4 = 0
    x=4x = 4
  3. Solve the second equation: We have found the two solutions to the equation:\newlinex=10x = -10 and x=4x = 4\newlineThese correspond to answer choice (B) x=4x=4, x=10x=-10.

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