Solve each equation. s2−4s=21

Question

odgovoreh · Accepted Answer

Step 1
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.
Step 2
The given equation is

s^{2} - 4 s = 21

. Solve the equation to find the solution for s by taking common terms out after rearranging the equation as follows;

s^{2} - 4 s = 21

s^{2} - 4 s - 21 = 21 - 21

........................ Subtract 21 from both sides.

s^{2} - 4 s - 21 = 0

s^{2} + 3 s - 7 s - 21 = 0

s (s + 3) - 7 (s + 3) = 0

............................ Take the common terms out.

(s + 3) (s - 7) = 0

............................. Factored form.

(s + 3) = 0 or (s - 7) = 0

......... Seperate the factors.

s = - 3 or s = 7

Hence, the solution for the given equation

s^{2} - 4 s = 21 i s s = - 3

or 7.

Solve each equation. s^{2}-4s=21

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