6x^2-10x-16=0?

3 Answers
Jun 15, 2018

Solve the quadratic to get x=1,83

Explanation:

I assume the question wants the solutions for x.

Divide through to make the first coefficient 1:
x253x83=0

Complete the square:
(x56)2253683=0
(x56)2=12136

x=56±12136=56±116

So x=1,83.

Jun 16, 2018

y=6x210x16=0
Since a - b + c = 0, use shortcut.
The 2 real roots are:
x = -1 ,and x=ca=166=83

Reminder of shortcut .
If a + b + c = 0, the 2 real roots are: x = 1, and x=ca
Example 1. Solve: 3x2+7x10=0
x = 1, and x=ca=103
If a - b + c = 0, the 2 real roots are: x = -1, and x=ca
Example 2. Solve: 4x25x9=0
x = -1, and x=ca=94

Jun 16, 2018

Another way

Explanation:

if ax2+bx+c=0

x=b±b24ac2a

In this case a=6,b=10,c=16

x=(10)±(10)2(46(16))26

x=10±48412

x=10±2212

x={83,1}