What are the solutions to the equation 34-3(10-x)=x^2 ?

The solutions to the equation 34-3(10-x)=x^2 are x=4,x=-1

Find the zeros of 34-3(10-x)=x^2

The zeros of 34-3(10-x)=x^2 are x=4,x=-1

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34 - 3 (10 - x) = x^{2}

x = 4, x = - 1

Solution steps

34 - 3 (10 - x) = x^{2}

Expand

34 - 3 (10 - x) : 3 x + 4

3 x + 4 = x^{2}

Switch sides

x^{2} = 3 x + 4

Move

4

to the left side

x^{2} - 4 = 3 x

Move

3 x

to the left side

x^{2} - 4 - 3 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 3 x - 4 = 0

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 1 \cdot (- 4) = 5

x_{1, 2} = \frac{- ( - 3 ) \pm 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 5}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 5}{2 \cdot 1}

x = \frac{- ( - 3 ) + 5}{2 \cdot 1} : 4

x = \frac{- ( - 3 ) - 5}{2 \cdot 1} : - 1

The solutions to the quadratic equation are:

x = 4, x = - 1

6 y^{2} - 11 y - 10 = 0

20 v^{2} + 3 v = 5 v^{2} + 5 v + 1

3 y^{2} = 75

2 t^{2} + 4 t + 1 = 0

12 - 8 x^{2} = 9

What are the solutions to the equation 34-3(10-x)=x^2 ?
The solutions to the equation 34-3(10-x)=x^2 are x=4,x=-1
Find the zeros of 34-3(10-x)=x^2
The zeros of 34-3(10-x)=x^2 are x=4,x=-1