What is the answer to 5sqrt(6-m)+10m=5m ?

The answer to 5sqrt(6-m)+10m=5m is m=-3

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5sqrt(6-m)+10m=5m

5 6 - m + 10 m = 5 m

m = - 3

Solution steps

5 6 - m + 10 m = 5 m

Remove square roots

150 - 25 m = 25 m^{2}

Solve

150 - 25 m = 25 m^{2} : m = 2, m = - 3

m = 2, m = - 3

Verify Solutions:

m = 2

False

, m = - 3

True

The solution is

m = - 3

6 x - 11 3 x + 12 = 0

y, x = 16 - y^{2}

(- 3 x + 4)^{\frac{1}{2}} = x

x - 25 - x^{2} = 1

4 x - 16 = x - 4

What is the answer to 5sqrt(6-m)+10m=5m ?
The answer to 5sqrt(6-m)+10m=5m is m=-3
Solve for m: 5sqrt(6-m)+10m=5m
The solution is m=-3