What is the answer to sqrt(a^2+(2.75a)^2)=3 ?

The answer to sqrt(a^2+(2.75a)^2)=3 is a=(12)/(sqrt(137)),a=-(12)/(sqrt(137))

Solve for a: sqrt(a^2+(2.75a)^2)=3

The solution is a=(12)/(sqrt(137)),a=-(12)/(sqrt(137))

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a^{2} + (2.75 a)^{2} = 3

a = \frac{12}{137}, a = - \frac{12}{137}

Decimal Notation

a = 1.02522 \dots, a = - 1.02522 \dots

Solution steps

a^{2} + (2.75 a)^{2} = 3

Square both sides:

8.5625 a^{2} = 9

8.5625 a^{2} = 9

Solve

8.5625 a^{2} = 9 : a = \frac{12}{137}, a = - \frac{12}{137}

a = \frac{12}{137}, a = - \frac{12}{137}

Verify Solutions:

a = \frac{12}{137}

True

, a = - \frac{12}{137}

True

The solutions are

a = \frac{12}{137}, a = - \frac{12}{137}

4 x = 8 + 8 x

200 - 8 x + 11.6 x = 0

x - 4 = 2 - x

G (x) = 3 x

2 x + 1 + 1 = 0

What is the answer to sqrt(a^2+(2.75a)^2)=3 ?
The answer to sqrt(a^2+(2.75a)^2)=3 is a=(12)/(sqrt(137)),a=-(12)/(sqrt(137))
Solve for a: sqrt(a^2+(2.75a)^2)=3
The solution is a=(12)/(sqrt(137)),a=-(12)/(sqrt(137))