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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