Question

Solve each equation by using the square root property round to the nearest hundred if necessary. x²-3x /4=6

A. x=0.36 and x=−2.86
B. x=0.64 and x=−2.14
C. x=0.36 and x=−2.14
D. x=0.64 and x=−2.86

Answer 1

To solve the equation x²-3x /4=6 using the square root property, isolate the variable x, apply the square root property, and round the solutions to the nearest hundred. The correct answer is x = 0.64 and x = −2.86.

Step-by-step explanation:

To solve the equation x²-3x /4=6 using the square root property, we need to isolate the variable, x, and then apply the square root property. Here are the steps to solve the equation:

1. Multiply both sides of the equation by 4 to eliminate the fraction: 4(x²-3x /4)=4(6).
2. Simplify the equation: x²-3x = 24.
3. Add 24 to both sides of the equation: x²-3x + 24 = 24 + 24.
4. Use the square root property to find the solutions: x = ±√(24).
5. Round the solutions to the nearest hundred: x = ±4.9.

Therefore, the correct answer is option D:

x = 0.64 and x = −2.86