$6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}$

7 0

2 years ago

Given the system of linear equations. -x+y=3 and 2x+y=6 Part A: Use substitution to find the solution to the systems of equation

Juli2301 [7.4K]

-x+y=3
y=x+3

2x + x + 3 =6
3x + 3 = 6
3x = 3
x = 1

-1 + y = 3
y = 4

2(1) + y = 6
2 + y = 6
y = 4

Solution: (1, 4)

8 0

2 years ago

The square of a number is 12 less then 7 times the number. 2hat is the number

Salsk061 [2.6K]

Hello.

The are answer is 4 or 3
<span>

3^2 = 7(3) - 12
9 = 21 - 12
9 = 9

</span>4^2 = 7(4) - 12
16 = 28 - 12
16 = 16

Have a nice day

3 0

2 years ago