Question

Solve the equation: 10z2 __√5 = 7z11√5

Select one:
A) {0}
B) {3}
C) {-3}
D) {6}

Answer 1

To solve the equation 10z^2 - √5 = 7z√5, isolate the variable z by moving all terms involving z to one side of the equation. Factor out √5 and set each factor equal to zero. Solve the quadratic equation to find the values of z.

Step-by-step explanation:

To solve the equation 10z^2 - √5 = 7z√5, we need to isolate the variable z. Start by moving all terms involving z to one side of the equation. Subtract 7z√5 from both sides:

10z^2 - 7z√5 - √5 = 0

Next, factor out √5 from the first two terms:

√5(10z^2 - 7z - 1) = 0

Now, set each factor equal to zero and solve for z:

√5 = 0 or 10z^2 - 7z - 1 = 0

Solving the quadratic equation, we get:

z = 0 or z = 1/10

Therefore, the solution to the equation is z = {0, 1/10}.