Ben Shaver

2021-12-08

Solve using the method of factorization:

$48{y}^{2}+26y=35$

amarantha41

Beginner2021-12-09Added 38 answers

Consider $48{y}^{2}+26y=35$

$\Rightarrow 48{y}^{2}+26y-35=0$

$\Rightarrow {y}^{2}+\frac{26}{48}y-\frac{35}{48}=0$

We now find 2 numbers, say p and q such that

$pq=-\frac{35}{48}$ and $p+q=\frac{26}{48}$

And the equation becomes:

${y}^{2}+py+qy-\frac{35}{48}=0$

We take$p=-\frac{5}{8},q=+\frac{7}{6}$

Thus

$\Rightarrow {y}^{2}-\frac{5}{8}y+\frac{7}{6}y-\frac{35}{48}=0$

$\Rightarrow y(y-\frac{5}{8})+\frac{7}{6}(y+\frac{5}{8})=0$

$\Rightarrow (y-\frac{5}{8})(y+\frac{7}{6})=0$

By method of factorization we have

Either$(y-\frac{5}{8})=0$ or $(y+\frac{7}{6})=0$

$\Rightarrow y=\frac{5}{8},y=-\frac{7}{6}$

Hence the solutions are

$y=\frac{5}{8},-\frac{7}{6}$

We now find 2 numbers, say p and q such that

And the equation becomes:

We take

Thus

By method of factorization we have

Either

Hence the solutions are

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$