What are the solutions to the equation (13x-11)(13x-15)=330 ?

The solutions to the equation (13x-11)(13x-15)=330 are x=(13+sqrt(334))/(13),x=(13-sqrt(334))/(13)

Find the zeros of (13x-11)(13x-15)=330

The zeros of (13x-11)(13x-15)=330 are x=(13+sqrt(334))/(13),x=(13-sqrt(334))/(13)

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(13 x - 11) (13 x - 15) = 330

x = \frac{13 + 334}{13}, x = \frac{13 - 334}{13}

Decimal Notation

x = 2.40582 \dots, x = - 0.40582 \dots

Solution steps

(13 x - 11) (13 x - 15) = 330

Expand

(13 x - 11) (13 x - 15) : 169 x^{2} - 338 x + 165

169 x^{2} - 338 x + 165 = 330

Move

330

to the left side

169 x^{2} - 338 x - 165 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 338 ) \pm ( - 338 ) ^{2} - 4 \cdot 169 ( - 165 )}{2 \cdot 169}

(- 338)^{2} - 4 \cdot 169 (- 165) = 26334

x_{1, 2} = \frac{- ( - 338 ) \pm 26 334}{2 \cdot 169}

Separate the solutions

x_{1} = \frac{- ( - 338 ) + 26 334}{2 \cdot 169}, x_{2} = \frac{- ( - 338 ) - 26 334}{2 \cdot 169}

x = \frac{- ( - 338 ) + 26 334}{2 \cdot 169} : \frac{13 + 334}{13}

x = \frac{- ( - 338 ) - 26 334}{2 \cdot 169} : \frac{13 - 334}{13}

The solutions to the quadratic equation are:

x = \frac{13 + 334}{13}, x = \frac{13 - 334}{13}

x^{2} - 6 x + 7 = 4 x

24 t^{2} - 216 t + 480 = 0

13 x - 1.65 x^{2} = 23.8

\frac{5}{4} x^{2} + 7 x + 9 = 0

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

What are the solutions to the equation (13x-11)(13x-15)=330 ?
The solutions to the equation (13x-11)(13x-15)=330 are x=(13+sqrt(334))/(13),x=(13-sqrt(334))/(13)
Find the zeros of (13x-11)(13x-15)=330
The zeros of (13x-11)(13x-15)=330 are x=(13+sqrt(334))/(13),x=(13-sqrt(334))/(13)