Answer :
Sure, let's solve the equation step by step!
The given equation is:
[tex]\[4x^2 - 60 = 40\][/tex]
1. Add 60 to both sides to simplify the equation:
[tex]\[4x^2 - 60 + 60 = 40 + 60\][/tex]
[tex]\[4x^2 = 100\][/tex]
2. Divide both sides by 4 to isolate [tex]\(x^2\)[/tex]:
[tex]\[x^2 = \frac{100}{4}\][/tex]
[tex]\[x^2 = 25\][/tex]
3. Take the square root of both sides to solve for [tex]\(x\)[/tex]:
[tex]\[x = \sqrt{25}\][/tex]
4. Since we are looking for the positive solution, [tex]\(x = 5\)[/tex].
Thus, the positive solution to the equation is [tex]\(\boxed{5}\)[/tex]. So the correct answer is option [tex]\(A\)[/tex].
The given equation is:
[tex]\[4x^2 - 60 = 40\][/tex]
1. Add 60 to both sides to simplify the equation:
[tex]\[4x^2 - 60 + 60 = 40 + 60\][/tex]
[tex]\[4x^2 = 100\][/tex]
2. Divide both sides by 4 to isolate [tex]\(x^2\)[/tex]:
[tex]\[x^2 = \frac{100}{4}\][/tex]
[tex]\[x^2 = 25\][/tex]
3. Take the square root of both sides to solve for [tex]\(x\)[/tex]:
[tex]\[x = \sqrt{25}\][/tex]
4. Since we are looking for the positive solution, [tex]\(x = 5\)[/tex].
Thus, the positive solution to the equation is [tex]\(\boxed{5}\)[/tex]. So the correct answer is option [tex]\(A\)[/tex].
