What are the solutions to the equation x^2=-3+4x ?

The solutions to the equation x^2=-3+4x are x=3,x=1

Find the zeros of x^2=-3+4x

The zeros of x^2=-3+4x are x=3,x=1

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x^{2} = - 3 + 4 x

x = 3, x = 1

Solution steps

x^{2} = - 3 + 4 x

Move

4 x

to the left side

x^{2} - 4 x = - 3

Move

3

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 3, x = 1

4 n^{2} + 6 n - 9 = 0

x^{2} - 2 x = - 26

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

5 t^{2} - 5 t - 30 = 0

(x + 1) (x - 3) = 2 (x + 5) - 16

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