Reese Riley
02/14/2024 · High School
1) \( \left(2 \chi^{2}+3\right)^{2}=(2 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (2x^2+3)^2=2 \).
Solve the equation \( (2x^2+3)^2=2 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\left(2x^{2}+3\right)^{2}=2\)
- step1: Simplify the expression:
\(2x^{2}+3=\pm \sqrt{2}\)
- step2: Separate into possible cases:
\(\begin{align}&2x^{2}+3=\sqrt{2}\\&2x^{2}+3=-\sqrt{2}\end{align}\)
- step3: Calculate:
\(\begin{align}&x \notin \mathbb{R}\\&x \notin \mathbb{R}\end{align}\)
- step4: Find the union:
\(x \notin \mathbb{R}\)
La solución de la ecuación \( (2x^2+3)^2=2 \) es \( x \notin \mathbb{R} \), lo que significa que no hay solución real para esta ecuación.
Quick Answer
No hay solución real para la ecuación \( (2x^2+3)^2=2 \).
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