What is 11^2-4(1)(-84) ?

The solution to 11^2-4(1)(-84) is 457

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11^2-4(1)(-84)

1 1^{2} - 4 (1) (- 84)

457

Solution steps

1 1^{2} - 4 (1) (- 84)

Follow the PEMDAS order of operations

Calculate exponents

1 1^{2} : 121

1 1^{2}

1 1^{2} = 121

= 121

= 121 - 4 (1) (- 84)

Multiply and divide (left to right)

4 (1) (- 84) : - 336

4 (1) (- 84)

4 (1) = 4

4 (1)

Apply rule:

(a) = a

(1) = 1

= 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

= 4

= 4 (- 84)

Apply rule

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

4 (- 84) = - 4 \cdot 84 = - 336

= - 336

= 121 - (- 336)

Add and subtract (left to right)

121 - (- 336) : 457

121 - (- 336)

Apply rule

- (- a) = + a

- (- 336) = + 336

= 121 + 336

121 + 336 = 457

= 457

= 457

- 7 \div 10 \div 1 \div 8

5^{2} + 5 \times 5

- 3 (5) + 5

- 3 (5) + 2

50 + 10 \div 2 + 75