What are the solutions to the equation 4(x-2)^2-5(x-2)=6 ?

The solutions to the equation 4(x-2)^2-5(x-2)=6 are x=4,x= 5/4

Find the zeros of 4(x-2)^2-5(x-2)=6

The zeros of 4(x-2)^2-5(x-2)=6 are x=4,x= 5/4

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4 (x - 2)^{2} - 5 (x - 2) = 6

x = 4, x = \frac{5}{4}

Decimal Notation

x = 4, x = 1.25

Solution steps

4 (x - 2)^{2} - 5 (x - 2) = 6

Expand

4 (x - 2)^{2} - 5 (x - 2) : 4 x^{2} - 21 x + 26

4 x^{2} - 21 x + 26 = 6

Move

6

to the left side

4 x^{2} - 21 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 4 \cdot 20}{2 \cdot 4}

(- 21)^{2} - 4 \cdot 4 \cdot 20 = 11

x_{1, 2} = \frac{- ( - 21 ) \pm 11}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 11}{2 \cdot 4}, x_{2} = \frac{- ( - 21 ) - 11}{2 \cdot 4}

x = \frac{- ( - 21 ) + 11}{2 \cdot 4} : 4

x = \frac{- ( - 21 ) - 11}{2 \cdot 4} : \frac{5}{4}

The solutions to the quadratic equation are:

x = 4, x = \frac{5}{4}

a^{2} - 10 a + 24 = 0

x, x^{2} + y^{2} - 2 x - 4 y + 5 = 0

x^{2} - 16 x = 60

4 x^{2} + 8 x - 60 = 0

7 x^{2} - 9 x - 10 = 0

What are the solutions to the equation 4(x-2)^2-5(x-2)=6 ?
The solutions to the equation 4(x-2)^2-5(x-2)=6 are x=4,x= 5/4
Find the zeros of 4(x-2)^2-5(x-2)=6
The zeros of 4(x-2)^2-5(x-2)=6 are x=4,x= 5/4