What are the solutions to the equation -9a^2-49a+516=0 ?

The solutions to the equation -9a^2-49a+516=0 are a=-(49+sqrt(20977))/(18),a=(sqrt(20977)-49)/(18)

Find the zeros of -9a^2-49a+516=0

The zeros of -9a^2-49a+516=0 are a=-(49+sqrt(20977))/(18),a=(sqrt(20977)-49)/(18)

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- 9 a^{2} - 49 a + 516 = 0

a = - \frac{49 + 20977}{18}, a = \frac{20977 - 49}{18}

Decimal Notation

a = - 10.76857 \dots, a = 5.32413 \dots

Solution steps

- 9 a^{2} - 49 a + 516 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 49 ) \pm ( - 49 ) ^{2} - 4 ( - 9 ) \cdot 516}{2 ( - 9 )}

(- 49)^{2} - 4 (- 9) \cdot 516 = 20977

a_{1, 2} = \frac{- ( - 49 ) \pm 20977}{2 ( - 9 )}

Separate the solutions

a_{1} = \frac{- ( - 49 ) + 20977}{2 ( - 9 )}, a_{2} = \frac{- ( - 49 ) - 20977}{2 ( - 9 )}

a = \frac{- ( - 49 ) + 20977}{2 ( - 9 )} : - \frac{49 + 20977}{18}

a = \frac{- ( - 49 ) - 20977}{2 ( - 9 )} : \frac{20977 - 49}{18}

The solutions to the quadratic equation are:

a = - \frac{49 + 20977}{18}, a = \frac{20977 - 49}{18}

∣ 2 x - 1 ∣ + 3 = ∣ 5 - x ∣

\frac{( x - 1 )}{x ^{2} - 4} < 0

- 2 X + 12 > - 8 X

x^{2} + 4 x - 5

9 x - 3 \geq 4 (3 x + 3)

What are the solutions to the equation -9a^2-49a+516=0 ?
The solutions to the equation -9a^2-49a+516=0 are a=-(49+sqrt(20977))/(18),a=(sqrt(20977)-49)/(18)
Find the zeros of -9a^2-49a+516=0
The zeros of -9a^2-49a+516=0 are a=-(49+sqrt(20977))/(18),a=(sqrt(20977)-49)/(18)