Question

Solve 10X²– 8x – 6=0.​

Answer 1

Answer:

20-8x-6=0

20-8x-6=08x+14=0

20-8x-6=08x+14=0x=14/8

20-8x-6=08x+14=0x=14/8x=1.75

Answer 2

Answer:

Solving we get,  $x$ = -0.47   and $x$ = 1.27 .

Step-by-step explanation:

We are given with the equation 10$x^{2}$ - 8$x$ - 6 = 0

Here we can't solve this equation using Middle-term splitting method as we can't split the middle term in two factors.

Here we will use quadratic D formula where ;

Roots of equation are given by ⇒ $x$ = $\frac{-b \pm \sqrt{D} }{2a}$

In this equation; b = coefficient of $x$ = -8

                           a = coefficient of $x^{2}$  = 10

                           D = $b^{2} - 4ac$ { c = constant term in expression = -6 }

So, Firstly D = $b^{2} - 4ac$ = $(-8)^{2} - 4*10*(-6)$ = 304

                       ⇒   $x$  = $\frac{-(-8) \pm \sqrt{304} }{2*10}$ = $(\frac{8 - \sqrt{304} }{2*10}, \frac{8 + \sqrt{304} }{2*10}})$

Solving this we get, $x$ = -0.47   and $x$ = 1.27 .