What are the solutions to the equation 4x^2-11x-45=0 ?

The solutions to the equation 4x^2-11x-45=0 are x=5,x=-9/4

Find the zeros of 4x^2-11x-45=0

The zeros of 4x^2-11x-45=0 are x=5,x=-9/4

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4 x^{2} - 11 x - 45 = 0

x = 5, x = - \frac{9}{4}

Decimal Notation

x = 5, x = - 2.25

Solution steps

4 x^{2} - 11 x - 45 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 4 ( - 45 )}{2 \cdot 4}

(- 11)^{2} - 4 \cdot 4 (- 45) = 29

x_{1, 2} = \frac{- ( - 11 ) \pm 29}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 29}{2 \cdot 4}, x_{2} = \frac{- ( - 11 ) - 29}{2 \cdot 4}

x = \frac{- ( - 11 ) + 29}{2 \cdot 4} : 5

x = \frac{- ( - 11 ) - 29}{2 \cdot 4} : - \frac{9}{4}

The solutions to the quadratic equation are:

x = 5, x = - \frac{9}{4}

15495.87 x^{2} + 231829.74 x - 19620 = 0

x, x^{2} + y^{2} + a x + b y + c = 0

54 - 3 x^{2} = 0

u^{2} = - 100

x^{2} + \frac{x}{1.6} + 25 = 0

What are the solutions to the equation 4x^2-11x-45=0 ?
The solutions to the equation 4x^2-11x-45=0 are x=5,x=-9/4
Find the zeros of 4x^2-11x-45=0
The zeros of 4x^2-11x-45=0 are x=5,x=-9/4