Respuesta :
Answer:
Step-by-step explanation:
Let the number be x.
twice the square of the sum of a number and 3 is expressed as;
2(x+3)²
If the expression is equal to 98, then;
2(x+3)² = 98
divide both sides by 2;
2(x+3)²/2 = 98/2
(x+3)² = 49
square root both sides
√(x+3)² = √49
x+3 = ±7
x = ±7-3
x = 7-3 or -7-3
x = 4 or -10
Hence the number is 4 or -10
The number is -4 or 10
Let n represent the unknown number
The following equation can be used to summarise the information given in the question
2 × n² = 98
The first step to take in order to determine the value of n is to divide both sides of the equation by 2
n² = 98/2
n² = 49
The second step is to determine the square root of both sides of the equation
n =√49
n =-7 or +7
The number = - 7 + 3 = - 4 or 7 + 3 = 10
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