## Solve for x. Write the smaller solution first, and the larger solution second. 2x^2-5=13

Question

Solve for x.
Write the smaller solution first, and the larger solution second.
2x^2-5=13

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4 months 2022-01-11T18:53:10+00:00 2 Answers 0 views 0

x= -3

Step-by-step explanation:

mark branliest pls

Standard form:

2×2 − 18 = 0

Factorization:

2(x + 3)(x − 3) = 0

Solutions based on factorization:

x + 3 = 0   ⇒   x1 = −3

x − 3 = 0   ⇒   x2 = 3

Extrema:

Min = (0, −18)

x = ± 3

Step-by-step explanation:

Given

2x² – 5 = 13 ( add 5 to both sides )

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = ± $$\sqrt{9}$$ = ± 3

smaller solution is x = – 3

larger solution is x = 3