How to solve (z)^(2)-3z+5

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$${ z }^{ 2 } -3z+5$$

Differentiate w.r.t. z

$2z-3$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$2z^{2-1}-3z^{1-1}$$

Subtract $1$ from $2$.

$$2z^{1}-3z^{1-1}$$

Subtract $1$ from $1$.

$$2z^{1}-3z^{0}$$

For any term $t$, $t^{1}=t$.

$$2z-3z^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$2z-3$$

Show Solution

Evaluate

$z^{2}-3z+5$