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3 years ago

Four times the dference of a number and three is twelve find the number

Mathematics

1 answer:

3241004551 [841]3 years ago

6 0

the number is 6

let the number be n , then the difference of this number and 3 is n - 3

4 times this is 4(n - 3) = 12 ( solve for n )

divide both sides by 4

n - 3 = 3 ( add 3 to both sides )

n = 3 + 3 = 6

the number is 6

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Solve the equation by factoring.

Delicious77 [7]

Factorizing an expression involves writing the expression in simpler forms

The values of z are $z = \frac 15$ or $z=4$

The equation is given as:

$5z^2 - 21z + 4 = 0$

Expand the equation

$5z^2 - 20z -z + 4 = 0$

Factorize the expression:

$5z(z - 4) -1(z - 4) = 0$

Factor out z - 4

$(5z - 1)(z - 4) = 0$

Split

$5z -1 = 0$ or $z - 4 = 0$

Solve for z

$z = \frac 15$ or $z=4$

Hence, the values of z are $z = \frac 15$ or $z=4$