What is (2^2-4*2*(-5))/(2*1) ?

The solution to (2^2-4*2*(-5))/(2*1) is 22

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(2^2-42(-5))/(2*1)

\frac{2 ^{2} - 4 \cdot 2 \cdot ( - 5 )}{2 \cdot 1}

22

Solution steps

\frac{2 ^{2} - 4 \cdot 2 ( - 5 )}{2 \cdot 1}

Solve

2^{2} - 4 \cdot 2 \cdot (- 5) : 44

Follow the PEMDAS order of operations

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 4 - 4 \cdot 2 (- 5)

Multiply and divide (left to right)

4 \cdot 2 (- 5) : - 40

4 \cdot 2 (- 5)

4 \cdot 2 = 8

= 8 (- 5)

Apply rule

a \cdot (- b) = - a \cdot b

8 (- 5) = - 8 \cdot 5 = - 40

= - 40

= 4 - (- 40)

Add and subtract (left to right)

4 - (- 40) : 44

4 - (- 40)

Apply rule

- (- a) = + a

- (- 40) = + 40

= 4 + 40

4 + 40 = 44

= 44

= 44

Solve

2 \cdot 1 : 2

2 \cdot 1 = 2

= 2

= \frac{44}{2}

Divide the numbers:

\frac{44}{2} = 22

= 22

2 (3 + 2)

- 2 (0) - 1

- 2 (0) - 5

- 2 (0) + 4

6 (2)^{4}