What are the solutions to the equation 1.4x^2-2x-10=0 ?

The solutions to the equation 1.4x^2-2x-10=0 are x=(5(1+sqrt(15)))/7 ,x=(5(1-sqrt(15)))/7

Find the zeros of 1.4x^2-2x-10=0

The zeros of 1.4x^2-2x-10=0 are x=(5(1+sqrt(15)))/7 ,x=(5(1-sqrt(15)))/7

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1.4 x^{2} - 2 x - 10 = 0

x = \frac{5 ( 1 + 15 )}{7}, x = \frac{5 ( 1 - 15 )}{7}

Decimal Notation

x = 3.48070 \dots, x = - 2.05213 \dots

Solution steps

1.4 x^{2} - 2 x - 10 = 0

Multiply both sides by

10

14 x^{2} - 20 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 14 ( - 100 )}{2 \cdot 14}

(- 20)^{2} - 4 \cdot 14 (- 100) = 2015

x_{1, 2} = \frac{- ( - 20 ) \pm 20 15}{2 \cdot 14}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 20 15}{2 \cdot 14}, x_{2} = \frac{- ( - 20 ) - 20 15}{2 \cdot 14}

x = \frac{- ( - 20 ) + 20 15}{2 \cdot 14} : \frac{5 ( 1 + 15 )}{7}

x = \frac{- ( - 20 ) - 20 15}{2 \cdot 14} : \frac{5 ( 1 - 15 )}{7}

The solutions to the quadratic equation are:

x = \frac{5 ( 1 + 15 )}{7}, x = \frac{5 ( 1 - 15 )}{7}

2 (x + 2) (x - 4) + 16 = 4 (3 - x)

x^{2} + 14.14 x + 100 = 0

x, x^{2} + 4 x + 4 = 0

x^{2} + 10 x - 10 = 0

2 x^{2} + 10 x = 0

What are the solutions to the equation 1.4x^2-2x-10=0 ?
The solutions to the equation 1.4x^2-2x-10=0 are x=(5(1+sqrt(15)))/7 ,x=(5(1-sqrt(15)))/7
Find the zeros of 1.4x^2-2x-10=0
The zeros of 1.4x^2-2x-10=0 are x=(5(1+sqrt(15)))/7 ,x=(5(1-sqrt(15)))/7