What is the answer to sqrt(a^2+(2.75a)^2)=150 ?

The answer to sqrt(a^2+(2.75a)^2)=150 is a=(600)/(sqrt(137)),a=-(600)/(sqrt(137))

Solve for a: sqrt(a^2+(2.75a)^2)=150

The solution is a=(600)/(sqrt(137)),a=-(600)/(sqrt(137))

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a^{2} + (2.75 a)^{2} = 150

a = \frac{600}{137}, a = - \frac{600}{137}

Decimal Notation

a = 51.26145 \dots, a = - 51.26145 \dots

Solution steps

a^{2} + (2.75 a)^{2} = 150

Square both sides:

8.5625 a^{2} = 22500

8.5625 a^{2} = 22500

Solve

8.5625 a^{2} = 22500 : a = \frac{600}{137}, a = - \frac{600}{137}

a = \frac{600}{137}, a = - \frac{600}{137}

Verify Solutions:

a = \frac{600}{137}

True

, a = - \frac{600}{137}

True

The solutions are

a = \frac{600}{137}, a = - \frac{600}{137}

0 = 4 - 0 + y^{2}

x + 1 = 3 x + 2

(2 + 1)^{2} + (k - 1)^{2} = 5

What is the answer to sqrt(a^2+(2.75a)^2)=150 ?
The answer to sqrt(a^2+(2.75a)^2)=150 is a=(600)/(sqrt(137)),a=-(600)/(sqrt(137))
Solve for a: sqrt(a^2+(2.75a)^2)=150
The solution is a=(600)/(sqrt(137)),a=-(600)/(sqrt(137))