Solve x2=78 by inspection. There are two real solutions. Enter the lesser number first, and use exponents in your responses. (1 point)

Question

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Answer 1

To solve the equation \( x^2 = 78 \) by inspection, we can look for numbers that, when squared, equal 78.

The two solutions would be:

• The positive solution: \( \sqrt{78} \)
• The negative solution: \( -\sqrt{78} \)

Since \( \sqrt{78} \) is an irrational number, we can approximate it for better understanding. However, expressing the solutions with exponents:

• The lesser number is \( -78^{1/2} \)
• The greater number is \( 78^{1/2} \)

Thus, the two solutions in the specified format are: \[ { -78^{1/2}, 78^{1/2} } \]