Mathematics: Solve x2 - 3x = 28 by factoring.

Solve x2 - 3x = 28 by factoring. - id23283979478, josephgperez

Ответ:

mathman783

11.01.2022

x = -4 or x = 7

Step-by-step explanation:

$x^2-3x=28\qquad\text{subtract 28 from both sides}\\\\x^2-3x-28=0\\\\x^2+4x-7x-28=0\qquad\text{distribute}\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\\\x-7=0\qquad\text{add 7 to both sides}\\\boxed{x=7}$

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Ответ:

victoriavacodos

29.12.2022

Mathematics

$\frac{1}{10}$

Step-by-step explanation:

$\frac{3}{5} +\frac{1}{6} =\frac{3*6}{5*6} +\frac{1*5}{6*5} =\frac{18}{30} +\frac{5}{30} =\frac{18+5}{30} =\frac{23}{30}$

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - three fifths plus one sixth = twenty-three thirtieths.

Subtract: $\frac{2}{3} =\frac{23}{30} -\frac{2}{3} =\frac{23}{30}-\frac{2*10}{3*10} =\frac{23}{30}-\frac{20}{30}=\frac{23-20}{30} =\frac{3}{30} =\frac{3*1}{3*10} =\frac{1}{10}$

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(30, 3) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 30 × 3 = 90. In the next intermediate step, , cancel by a common factor of 3 gives $\frac{1}{10}$

In words - twenty-three thirtieths minus two thirds = one tenth.

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Solve x2 - 3x = 28 by factoring.

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