What are the solutions to the equation x^2-7x+16=0 ?

The solutions to the equation x^2-7x+16=0 are x= 7/2+i(sqrt(15))/2 ,x= 7/2-i(sqrt(15))/2

Find the zeros of x^2-7x+16=0

The zeros of x^2-7x+16=0 are x= 7/2+i(sqrt(15))/2 ,x= 7/2-i(sqrt(15))/2

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x^{2} - 7 x + 16 = 0

x = \frac{7}{2} + i \frac{15}{2}, x = \frac{7}{2} - i \frac{15}{2}

Solution steps

x^{2} - 7 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 16}{2 \cdot 1}

Simplify

(- 7)^{2} - 4 \cdot 1 \cdot 16 : 15 i

x_{1, 2} = \frac{- ( - 7 ) \pm 15 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 15 i}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 15 i}{2 \cdot 1}

x = \frac{- ( - 7 ) + 15 i}{2 \cdot 1} : \frac{7}{2} + i \frac{15}{2}

x = \frac{- ( - 7 ) - 15 i}{2 \cdot 1} : \frac{7}{2} - i \frac{15}{2}

The solutions to the quadratic equation are:

x = \frac{7}{2} + i \frac{15}{2}, x = \frac{7}{2} - i \frac{15}{2}

10 x - 8 + 3 x - 7 + x = 20 x - 10 - 6 x

x^{(2)} - 4 x = 21

\frac{8}{- 12 i}

4 (x + 1) - 7 = 3 (x - 1) + x

a^{2} + 8 a - 48

What are the solutions to the equation x^2-7x+16=0 ?
The solutions to the equation x^2-7x+16=0 are x= 7/2+i(sqrt(15))/2 ,x= 7/2-i(sqrt(15))/2
Find the zeros of x^2-7x+16=0
The zeros of x^2-7x+16=0 are x= 7/2+i(sqrt(15))/2 ,x= 7/2-i(sqrt(15))/2