What are the solutions to the equation x^2-2/3 x= 3/5 ?

The solutions to the equation x^2-2/3 x= 3/5 are x=(5+4sqrt(10))/(15),x=(5-4sqrt(10))/(15)

Find the zeros of x^2-2/3 x= 3/5

The zeros of x^2-2/3 x= 3/5 are x=(5+4sqrt(10))/(15),x=(5-4sqrt(10))/(15)

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x^{2} - \frac{2}{3} x = \frac{3}{5}

x = \frac{5 + 4 10}{15}, x = \frac{5 - 4 10}{15}

Decimal Notation

x = 1.17660 \dots, x = - 0.50994 \dots

Solution steps

x^{2} - \frac{2}{3} x = \frac{3}{5}

Find Least Common Multiplier of

3, 5 : 15

Multiply by LCM=

15

x^{2} \cdot 15 - \frac{2}{3} x \cdot 15 = \frac{3}{5} \cdot 15

Simplify

15 x^{2} - 10 x = 9

Move

9

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 15 ( - 9 )}{2 \cdot 15}

(- 10)^{2} - 4 \cdot 15 (- 9) = 810

x_{1, 2} = \frac{- ( - 10 ) \pm 8 10}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 8 10}{2 \cdot 15}, x_{2} = \frac{- ( - 10 ) - 8 10}{2 \cdot 15}

x = \frac{- ( - 10 ) + 8 10}{2 \cdot 15} : \frac{5 + 4 10}{15}

x = \frac{- ( - 10 ) - 8 10}{2 \cdot 15} : \frac{5 - 4 10}{15}

The solutions to the quadratic equation are:

x = \frac{5 + 4 10}{15}, x = \frac{5 - 4 10}{15}

3 x^{2} + 7 = 4

x^{2} = a, a > 0

y, x = 3 lo g_{10} (y^{2})

x, M (x) = 4 x^{2} - 12 x + 8

25 x^{2} + 110 x + 121 = 0

What are the solutions to the equation x^2-2/3 x= 3/5 ?
The solutions to the equation x^2-2/3 x= 3/5 are x=(5+4sqrt(10))/(15),x=(5-4sqrt(10))/(15)
Find the zeros of x^2-2/3 x= 3/5
The zeros of x^2-2/3 x= 3/5 are x=(5+4sqrt(10))/(15),x=(5-4sqrt(10))/(15)