What are the solutions to the equation 5x^2-100x=-435 ?

The solutions to the equation 5x^2-100x=-435 are x=10+sqrt(13),x=10-sqrt(13)

Find the zeros of 5x^2-100x=-435

The zeros of 5x^2-100x=-435 are x=10+sqrt(13),x=10-sqrt(13)

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5 x^{2} - 100 x = - 435

x = 10 + 13, x = 10 - 13

Decimal Notation

x = 13.60555 \dots, x = 6.39444 \dots

Solution steps

5 x^{2} - 100 x = - 435

Move

435

to the left side

5 x^{2} - 100 x + 435 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 5 \cdot 435}{2 \cdot 5}

(- 100)^{2} - 4 \cdot 5 \cdot 435 = 1013

x_{1, 2} = \frac{- ( - 100 ) \pm 10 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 10 13}{2 \cdot 5}, x_{2} = \frac{- ( - 100 ) - 10 13}{2 \cdot 5}

x = \frac{- ( - 100 ) + 10 13}{2 \cdot 5} : 10 + 13

x = \frac{- ( - 100 ) - 10 13}{2 \cdot 5} : 10 - 13

The solutions to the quadratic equation are:

x = 10 + 13, x = 10 - 13

(2 x + 1) 2 = (x - 1) 2 + 3 x (x + 2)

4 a - 6 = - 5 a^{2}

m (m - 1) = 0

2 x^{2} - 13 x = 0

9 x^{2} + 27 x + 20 = 0

What are the solutions to the equation 5x^2-100x=-435 ?
The solutions to the equation 5x^2-100x=-435 are x=10+sqrt(13),x=10-sqrt(13)
Find the zeros of 5x^2-100x=-435
The zeros of 5x^2-100x=-435 are x=10+sqrt(13),x=10-sqrt(13)