What is the answer to (2a^2+5a+2)^{1/2}=3 ?

The answer to (2a^2+5a+2)^{1/2}=3 is a=1,a=-7/2

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(2a^2+5a+2)^{1/2}=3

(2 a^{2} + 5 a + 2)^{\frac{1}{2}} = 3

a = 1, a = - \frac{7}{2}

Decimal Notation

a = 1, a = - 3.5

Solution steps

(2 a^{2} + 5 a + 2)^{\frac{1}{2}} = 3

Square both sides:

2 a^{2} + 5 a + 2 = 9

2 a^{2} + 5 a + 2 = 9

Solve

2 a^{2} + 5 a + 2 = 9 : a = 1, a = - \frac{7}{2}

a = 1, a = - \frac{7}{2}

Verify Solutions:

a = 1

True

, a = - \frac{7}{2}

True

The solutions are

a = 1, a = - \frac{7}{2}

2 x = x - 8

y, x = y^{\frac{3}{2}}

3 x + 1 = 4

x = 3 x

8 n - 2 = - 16

What is the answer to (2a^2+5a+2)^{1/2}=3 ?
The answer to (2a^2+5a+2)^{1/2}=3 is a=1,a=-7/2
Solve for a: (2a^2+5a+2)^{1/2}=3
The solution is a=1,a=-7/2