What are the solutions to the equation 15x^2+15=34x ?

The solutions to the equation 15x^2+15=34x are x= 5/3 ,x= 3/5

Find the zeros of 15x^2+15=34x

The zeros of 15x^2+15=34x are x= 5/3 ,x= 3/5

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15 x^{2} + 15 = 34 x

x = \frac{5}{3}, x = \frac{3}{5}

Decimal Notation

x = 1.66666 \dots, x = 0.6

Solution steps

15 x^{2} + 15 = 34 x

Move

34 x

to the left side

15 x^{2} + 15 - 34 x = 0

Write in the standard form

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

15 x^{2} - 34 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 34 ) \pm ( - 34 ) ^{2} - 4 \cdot 15 \cdot 15}{2 \cdot 15}

(- 34)^{2} - 4 \cdot 15 \cdot 15 = 16

x_{1, 2} = \frac{- ( - 34 ) \pm 16}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 34 ) + 16}{2 \cdot 15}, x_{2} = \frac{- ( - 34 ) - 16}{2 \cdot 15}

x = \frac{- ( - 34 ) + 16}{2 \cdot 15} : \frac{5}{3}

x = \frac{- ( - 34 ) - 16}{2 \cdot 15} : \frac{3}{5}

The solutions to the quadratic equation are:

x = \frac{5}{3}, x = \frac{3}{5}

(a + b)^{2} x^{2} + 8 (a^{2} - b^{2}) x + 16 (a - b)^{2} = 0

5 x (3 x + 2 x) - 3 x = 40

x, (p - 3) \cdot x^{2} - 2 (p - 3) x + 2 = 0

(a - 1) x^{2} + (3 - a) x + b = 0

k, k 8 k + 2 m = 3 m + k

What are the solutions to the equation 15x^2+15=34x ?
The solutions to the equation 15x^2+15=34x are x= 5/3 ,x= 3/5
Find the zeros of 15x^2+15=34x
The zeros of 15x^2+15=34x are x= 5/3 ,x= 3/5