What are the solutions to the equation 4x^2-12x+15=0 ?

The solutions to the equation 4x^2-12x+15=0 are x= 3/2+isqrt(3/2),x= 3/2-isqrt(3/2)

Find the zeros of 4x^2-12x+15=0

The zeros of 4x^2-12x+15=0 are x= 3/2+isqrt(3/2),x= 3/2-isqrt(3/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{2} - 12 x + 15 = 0

x = \frac{3}{2} + i \frac{3}{2}, x = \frac{3}{2} - i \frac{3}{2}

Solution steps

4 x^{2} - 12 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 4 \cdot 15}{2 \cdot 4}

Simplify

(- 12)^{2} - 4 \cdot 4 \cdot 15 : 46 i

x_{1, 2} = \frac{- ( - 12 ) \pm 4 6 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 4 6 i}{2 \cdot 4}, x_{2} = \frac{- ( - 12 ) - 4 6 i}{2 \cdot 4}

x = \frac{- ( - 12 ) + 4 6 i}{2 \cdot 4} : \frac{3}{2} + i \frac{3}{2}

x = \frac{- ( - 12 ) - 4 6 i}{2 \cdot 4} : \frac{3}{2} - i \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{3}{2} + i \frac{3}{2}, x = \frac{3}{2} - i \frac{3}{2}

d^{2} + 30 d - 64

3 x^{2} + 6 = 5 x

(q) (11 q + 4) = 0

26 = - 12 v - 9 + 7 v

\frac{1}{6} \cdot 9

What are the solutions to the equation 4x^2-12x+15=0 ?
The solutions to the equation 4x^2-12x+15=0 are x= 3/2+isqrt(3/2),x= 3/2-isqrt(3/2)
Find the zeros of 4x^2-12x+15=0
The zeros of 4x^2-12x+15=0 are x= 3/2+isqrt(3/2),x= 3/2-isqrt(3/2)