What are the solutions to the equation 0=a^2-2a+2.34 ?

The solutions to the equation 0=a^2-2a+2.34 are a=1+i(sqrt(134))/(10),a=1-i(sqrt(134))/(10)

Find the zeros of 0=a^2-2a+2.34

The zeros of 0=a^2-2a+2.34 are a=1+i(sqrt(134))/(10),a=1-i(sqrt(134))/(10)

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0 = a^{2} - 2 a + 2.34

a = 1 + i \frac{134}{10}, a = 1 - i \frac{134}{10}

Solution steps

0 = a^{2} - 2 a + 2.34

Multiply both sides by

100

0 = 100 a^{2} - 200 a + 234

Switch sides

100 a^{2} - 200 a + 234 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 200 ) \pm ( - 200 ) ^{2} - 4 \cdot 100 \cdot 234}{2 \cdot 100}

Simplify

(- 200)^{2} - 4 \cdot 100 \cdot 234 : 20134 i

a_{1, 2} = \frac{- ( - 200 ) \pm 20 134 i}{2 \cdot 100}

Separate the solutions

a_{1} = \frac{- ( - 200 ) + 20 134 i}{2 \cdot 100}, a_{2} = \frac{- ( - 200 ) - 20 134 i}{2 \cdot 100}

a = \frac{- ( - 200 ) + 20 134 i}{2 \cdot 100} : 1 + i \frac{134}{10}

a = \frac{- ( - 200 ) - 20 134 i}{2 \cdot 100} : 1 - i \frac{134}{10}

The solutions to the quadratic equation are:

a = 1 + i \frac{134}{10}, a = 1 - i \frac{134}{10}

x^{2} + (6 + 2 x)^{2} = (9 + 2 x)^{2}

144.3 x^{2} - 350.98 x + 49.9947 = 0

0 = 0.5 q^{2} + 5 q - 100

9 x^{2} + 9 x^{2} = 7

x^{2} - 2 x = 0

What are the solutions to the equation 0=a^2-2a+2.34 ?
The solutions to the equation 0=a^2-2a+2.34 are a=1+i(sqrt(134))/(10),a=1-i(sqrt(134))/(10)
Find the zeros of 0=a^2-2a+2.34
The zeros of 0=a^2-2a+2.34 are a=1+i(sqrt(134))/(10),a=1-i(sqrt(134))/(10)