What are the solutions to the equation x^2-3x+sqrt(2)=0 ?

The solutions to the equation x^2-3x+sqrt(2)=0 are x=1+sqrt(2),x=2-sqrt(2)

Find the zeros of x^2-3x+sqrt(2)=0

The zeros of x^2-3x+sqrt(2)=0 are x=1+sqrt(2),x=2-sqrt(2)

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x^{2} - 3 x + 2 = 0

x = 1 + 2, x = 2 - 2

Decimal Notation

x = 2.41421 \dots, x = 0.58578 \dots

Solution steps

x^{2} - 3 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot 2}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot 2 = 22 - 1

x_{1, 2} = \frac{- ( - 3 ) \pm ( 2 2 - 1 )}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 2 2 - 1}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - ( 2 2 - 1 )}{2 \cdot 1}

x = \frac{- ( - 3 ) + 2 2 - 1}{2 \cdot 1} : 1 + 2

x = \frac{- ( - 3 ) - ( 2 2 - 1 )}{2 \cdot 1} : 2 - 2

The solutions to the quadratic equation are:

x = 1 + 2, x = 2 - 2

(2 + 7 i) (2 - 7 i)

r - 4 (- 5 r + 6) \leq 4 r + 10 - 9

∣ 3 x ∣ = 9

9 x^{2} - 12 x - 5 = 0

\frac{7}{8} p - \frac{1}{4} \leq \frac{1}{2} p

What are the solutions to the equation x^2-3x+sqrt(2)=0 ?
The solutions to the equation x^2-3x+sqrt(2)=0 are x=1+sqrt(2),x=2-sqrt(2)
Find the zeros of x^2-3x+sqrt(2)=0
The zeros of x^2-3x+sqrt(2)=0 are x=1+sqrt(2),x=2-sqrt(2)