What are the solutions to the equation 4x^2-5/2 x-3=0 ?

The solutions to the equation 4x^2-5/2 x-3=0 are x=(5+sqrt(217))/(16),x=(5-sqrt(217))/(16)

Find the zeros of 4x^2-5/2 x-3=0

The zeros of 4x^2-5/2 x-3=0 are x=(5+sqrt(217))/(16),x=(5-sqrt(217))/(16)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{2} - \frac{5}{2} x - 3 = 0

x = \frac{5 + 217}{16}, x = \frac{5 - 217}{16}

Decimal Notation

x = 1.23318 \dots, x = - 0.60818 \dots

Solution steps

4 x^{2} - \frac{5}{2} x - 3 = 0

Multiply both sides by

2

8 x^{2} - 5 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 8 ( - 6 )}{2 \cdot 8}

(- 5)^{2} - 4 \cdot 8 (- 6) = 217

x_{1, 2} = \frac{- ( - 5 ) \pm 217}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 217}{2 \cdot 8}, x_{2} = \frac{- ( - 5 ) - 217}{2 \cdot 8}

x = \frac{- ( - 5 ) + 217}{2 \cdot 8} : \frac{5 + 217}{16}

x = \frac{- ( - 5 ) - 217}{2 \cdot 8} : \frac{5 - 217}{16}

The solutions to the quadratic equation are:

x = \frac{5 + 217}{16}, x = \frac{5 - 217}{16}

x^{2} - 14 x + 30 = 0

6 m (12 m - 5) = 0

5 x^{2} + 9 x + 5 = 0

3 x (x + 1) - x = 33 - (x - 3)^{2}

x, z = x^{2} + 2 y^{2} + 6 x y - 6 x + 10 y + 5

What are the solutions to the equation 4x^2-5/2 x-3=0 ?
The solutions to the equation 4x^2-5/2 x-3=0 are x=(5+sqrt(217))/(16),x=(5-sqrt(217))/(16)
Find the zeros of 4x^2-5/2 x-3=0
The zeros of 4x^2-5/2 x-3=0 are x=(5+sqrt(217))/(16),x=(5-sqrt(217))/(16)