The solution to the given equation is x = ±7. The correct option is d. x = ±7
<h3>Solving quadratic equations </h3>
From the question, we are to determine the solution to the given equation
The given equation is
x²-49 = 0
NOTE: I assumed the variable is x
Solving the equation
x²-49 = 0
Writing in the form ax²= c
x² = 49
∴ x = ±√49
x = ±7
Hence, the solution to the given equation is x = ±7
Learn more on Solving quadratic equations here: brainly.com/question/24334139
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Answer:
x = -3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 6 from both sides:
6x + 6 (-6) = -12 (-6)
6x = -12 - 6
6x = -18
Isolate the variable, x. Divide 6 from both sides:
(6x)/6 = (-18)/6
x = (-18)/6
x = -3
x = -3 is your answer.
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Answer: 5 • (2x2 - 17x - 2)
———————————————————
x - 8
Step-by-step explanation:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
Step 2 :
10x2 - 85x - 10
Simplify ———————————————
x - 8
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
10x2 - 85x - 10 = 5 • (2x2 - 17x - 2)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 - 17x - 2
The first term is, 2x2 its coefficient is 2 .
The middle term is, -17x its coefficient is -17 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -17 .
-4 + 1 = -3
-2 + 2 = 0
-1 + 4 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored