What are the solutions to the equation 35a^2-30a-210=0 ?

The solutions to the equation 35a^2-30a-210=0 are a=(3+sqrt(303))/7 ,a=(3-sqrt(303))/7

Find the zeros of 35a^2-30a-210=0

The zeros of 35a^2-30a-210=0 are a=(3+sqrt(303))/7 ,a=(3-sqrt(303))/7

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35 a^{2} - 30 a - 210 = 0

a = \frac{3 + 303}{7}, a = \frac{3 - 303}{7}

Decimal Notation

a = 2.91527 \dots, a = - 2.05812 \dots

Solution steps

35 a^{2} - 30 a - 210 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 35 ( - 210 )}{2 \cdot 35}

(- 30)^{2} - 4 \cdot 35 (- 210) = 10303

a_{1, 2} = \frac{- ( - 30 ) \pm 10 303}{2 \cdot 35}

Separate the solutions

a_{1} = \frac{- ( - 30 ) + 10 303}{2 \cdot 35}, a_{2} = \frac{- ( - 30 ) - 10 303}{2 \cdot 35}

a = \frac{- ( - 30 ) + 10 303}{2 \cdot 35} : \frac{3 + 303}{7}

a = \frac{- ( - 30 ) - 10 303}{2 \cdot 35} : \frac{3 - 303}{7}

The solutions to the quadratic equation are:

a = \frac{3 + 303}{7}, a = \frac{3 - 303}{7}

2 z^{2} - 11 z + 5

n (3 + n) = n^{2} + 4 n

3 (4 x - 1) = 7 (2 x - 7)

12 x^{2} + 23 x + 5

4 p^{2} = 12 p - 5

What are the solutions to the equation 35a^2-30a-210=0 ?
The solutions to the equation 35a^2-30a-210=0 are a=(3+sqrt(303))/7 ,a=(3-sqrt(303))/7
Find the zeros of 35a^2-30a-210=0
The zeros of 35a^2-30a-210=0 are a=(3+sqrt(303))/7 ,a=(3-sqrt(303))/7