The difference between the two solutions to the equation x^2=a is 30 what is a

Question

Elyse Love

Mathematics

9 December, 09:50

The difference between the two solutions to the equation x^2=a is 30 what is a

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Answers (1)

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Alyvia Garrett · Answer 1

X²=a

x=⁺₋√a

we have two solutions: - √a and √a;

we can suggest this equation:

√a - (-√a) = 30

√a+√a=30

2√a=30

√a=30/2

√a=15

(√a) ² = (15) ²

a=225

The solutions are - √225=-15 and √225=15.

Answer: a=225