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Popular >

z^2+3z-10=0

Solution

z^{2} + 3 z - 10 = 0

Solution

z = 2, z = - 5

Solution steps

z^{2} + 3 z - 10 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

3^{2} - 4 \cdot 1 \cdot (- 10) = 7

z_{1, 2} = \frac{- 3 \pm 7}{2 \cdot 1}

Separate the solutions

z_{1} = \frac{- 3 + 7}{2 \cdot 1}, z_{2} = \frac{- 3 - 7}{2 \cdot 1}

z = \frac{- 3 + 7}{2 \cdot 1} : 2

z = \frac{- 3 - 7}{2 \cdot 1} : - 5

The solutions to the quadratic equation are:

z = 2, z = - 5

Popular Examples

simplify (2a+3c)/(2a+c)-(2b-3a)/(3a+b)-(2c(3a+b))/(6a^2+2ab+3ac+bc)simplify

\frac{2 a + 3 c}{2 a + c} - \frac{2 b - 3 a}{3 a + b} - \frac{2 c ( 3 a + b )}{6 a ^{2} + 2 ab + 3 a c + b c}

3/5 r+1/5 r=-15+11

\frac{3}{5} r + \frac{1}{5} r = - 15 + 11

factor-16x^2+96x factor

- 16 x^{2} + 96 x

6 < 3 y + 15 \leq 18

simplify-3(5/12)+2/5 simplify

- 3 (\frac{5}{12}) + \frac{2}{5}

Frequently Asked Questions (FAQ)

What are the solutions to the equation z^2+3z-10=0 ?
The solutions to the equation z^2+3z-10=0 are z=2,z=-5
Find the zeros of z^2+3z-10=0
The zeros of z^2+3z-10=0 are z=2,z=-5