What are the solutions to the equation x^2-5x+a=0 ?

The solutions to the equation x^2-5x+a=0 are x=(5+sqrt(25-4a))/2 ,x=(5-sqrt(25-4a))/2

Find the zeros of x^2-5x+a=0

The zeros of x^2-5x+a=0 are x=(5+sqrt(25-4a))/2 ,x=(5-sqrt(25-4a))/2

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x^{2} - 5 x + a = 0

x = \frac{5 + 25 - 4 a}{2}, x = \frac{5 - 25 - 4 a}{2}

Solution steps

x^{2} - 5 x + a = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot a}{2 \cdot 1}

Simplify

(- 5)^{2} - 4 \cdot 1 \cdot a : 25 - 4 a

x_{1, 2} = \frac{- ( - 5 ) \pm 25 - 4 a}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 25 - 4 a}{2 \cdot 1}, x_{2} = \frac{- ( - 5 ) - 25 - 4 a}{2 \cdot 1}

x = \frac{- ( - 5 ) + 25 - 4 a}{2 \cdot 1} : \frac{5 + 25 - 4 a}{2}

x = \frac{- ( - 5 ) - 25 - 4 a}{2 \cdot 1} : \frac{5 - 25 - 4 a}{2}

The solutions to the quadratic equation are:

x = \frac{5 + 25 - 4 a}{2}, x = \frac{5 - 25 - 4 a}{2}

6^{2} = 2^{2} + x^{2}

13 x^{2} - 5 x + 12 = 0

x^{2} + 16 x = 30

z, x^{2} + y^{2} + z^{2} = 2 z

y, X^{2} + y^{2} = 3.24

What are the solutions to the equation x^2-5x+a=0 ?
The solutions to the equation x^2-5x+a=0 are x=(5+sqrt(25-4a))/2 ,x=(5-sqrt(25-4a))/2
Find the zeros of x^2-5x+a=0
The zeros of x^2-5x+a=0 are x=(5+sqrt(25-4a))/2 ,x=(5-sqrt(25-4a))/2