When a quadratic equation has no linear term (variable raised to the first power), the solution becomes simpler. What are the two possible solutions to 5x^2−15=0? Enter your two answers separated by a comma.

Respuesta :

Answer: [tex]-\sqrt{3},\ +\sqrt{3}[/tex]

Step-by-step explanation:

The given quadratic equation :_ [tex]5x^2-15=0[/tex]

To solve this , we first add 15 on the both the sides of the above equation, we get

[tex]5x^2-15+15=0+15\\\\\Rightarrow\ 5x^2=15[/tex]

Now, we divide both sides by 5, we get

[tex]x^2=3[/tex]

Taking square roots on both the sides , we get

[tex]x=\pm\sqrt{3}[/tex]

Hence, the two possible solutions = [tex]-\sqrt{3},\ +\sqrt{3}[/tex]

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