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Chapter 10: Q12. (page 603)

Solve the equation.

6x2鈭�5x鈭�4=0

Short Answer

Expert verified

The solutions of the given equation are x=43,鈥�鈭�12.

Step by step solution

01

Step 1. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign "=".

02

Step 2. Write the standard form of a quadratic equation.

The standard form of a quadratic equation is given by

ax2+bx+c=0, wherea鈮�0

03

Step 3. Solve the equation 6x2−5x−4=0.

6x2鈭�5x鈭�4=06x2鈭�8x+3x鈭�4=02x3x鈭�4+13x鈭�4=03x鈭�42x+1=0

3x鈭�4=0or 2x+1=0

3x=4or2x=鈭�1

x=43orx=鈭�12

x=43,鈥�鈭�12

Therefore the solutions of the given equation are x=43,鈥�鈭�12.

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