1. twice the square of the sum of a number and 3 is 98.find the number
1 answer:
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
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