Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Certainly! Let's solve the given equation [tex]\((4x - 16)^{1/2} = 36\)[/tex] step by step to find the value of [tex]\(x\)[/tex].
1. Start with the given equation:
[tex]\[ (4x - 16)^{1/2} = 36 \][/tex]
2. To eliminate the square root, square both sides of the equation:
[tex]\[ (4x - 16)^{1/2}^2 = 36^2 \][/tex]
Simplifying this, we get:
[tex]\[ 4x - 16 = 36^2 \][/tex]
3. Calculate [tex]\(36^2\)[/tex]:
[tex]\[ 36^2 = 1296 \][/tex]
4. Substitute this back into the equation:
[tex]\[ 4x - 16 = 1296 \][/tex]
5. To isolate [tex]\(x\)[/tex], add 16 to both sides of the equation:
[tex]\[ 4x - 16 + 16 = 1296 + 16 \][/tex]
Simplifying this, we obtain:
[tex]\[ 4x = 1312 \][/tex]
6. Finally, divide both sides by 4 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{1312}{4} \][/tex]
Simplifying this, we find:
[tex]\[ x = 328 \][/tex]
So, the solution to the equation [tex]\((4x - 16)^{1/2} = 36\)[/tex] is [tex]\(x = 328\)[/tex]. The correct option is:
[tex]\[ x = 328 \][/tex]
1. Start with the given equation:
[tex]\[ (4x - 16)^{1/2} = 36 \][/tex]
2. To eliminate the square root, square both sides of the equation:
[tex]\[ (4x - 16)^{1/2}^2 = 36^2 \][/tex]
Simplifying this, we get:
[tex]\[ 4x - 16 = 36^2 \][/tex]
3. Calculate [tex]\(36^2\)[/tex]:
[tex]\[ 36^2 = 1296 \][/tex]
4. Substitute this back into the equation:
[tex]\[ 4x - 16 = 1296 \][/tex]
5. To isolate [tex]\(x\)[/tex], add 16 to both sides of the equation:
[tex]\[ 4x - 16 + 16 = 1296 + 16 \][/tex]
Simplifying this, we obtain:
[tex]\[ 4x = 1312 \][/tex]
6. Finally, divide both sides by 4 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{1312}{4} \][/tex]
Simplifying this, we find:
[tex]\[ x = 328 \][/tex]
So, the solution to the equation [tex]\((4x - 16)^{1/2} = 36\)[/tex] is [tex]\(x = 328\)[/tex]. The correct option is:
[tex]\[ x = 328 \][/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.