What are the solutions to the equation x^2-2021x+7(x-2021)=0 ?

The solutions to the equation x^2-2021x+7(x-2021)=0 are x=2021,x=-7

Find the zeros of x^2-2021x+7(x-2021)=0

The zeros of x^2-2021x+7(x-2021)=0 are x=2021,x=-7

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x^{2} - 2021 x + 7 (x - 2021) = 0

x = 2021, x = - 7

Solution steps

x^{2} - 2021 x + 7 (x - 2021) = 0

Expand

x^{2} - 2021 x + 7 (x - 2021) : x^{2} - 2014 x - 14147

x^{2} - 2014 x - 14147 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2014 ) \pm ( - 2014 ) ^{2} - 4 \cdot 1 \cdot ( - 14147 )}{2 \cdot 1}

(- 2014)^{2} - 4 \cdot 1 \cdot (- 14147) = 2028

x_{1, 2} = \frac{- ( - 2014 ) \pm 2028}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2014 ) + 2028}{2 \cdot 1}, x_{2} = \frac{- ( - 2014 ) - 2028}{2 \cdot 1}

x = \frac{- ( - 2014 ) + 2028}{2 \cdot 1} : 2021

x = \frac{- ( - 2014 ) - 2028}{2 \cdot 1} : - 7

The solutions to the quadratic equation are:

x = 2021, x = - 7

p^{2} - 2 p - 24 = 0

1450 \frac{V ^{2}}{24} = 1450 \cdot 9.8

5 x^{2} + 13 x - 28 = 0

2 x^{2} + 8 x - 3 = 0

2 = 1 + x^{2}

What are the solutions to the equation x^2-2021x+7(x-2021)=0 ?
The solutions to the equation x^2-2021x+7(x-2021)=0 are x=2021,x=-7
Find the zeros of x^2-2021x+7(x-2021)=0
The zeros of x^2-2021x+7(x-2021)=0 are x=2021,x=-7