Question

what is the root of equations of 4x²-2x-20=x2+9x?​

Answer 1

Answer:

5 and 4/3

Step-by-step explanation:

Factors of this equation are (x - 5)(3x - 4)

Then, x - 5 =0

x=5 and 3x - 4 =0

x= 4/3

Answer 2

The roots of the equation are; (x - 5) (3x +4)

x = 5 and x = -4/3

GIVEN

Algebraic equation = 4x²-2x-20=x²+9x

TO FIND

The roots of the given equation

SOLUTION

We can simply solve the above problem as follows;

We are given an algebraic equation;

4x²-2x-20=x²+9x

Simplifying into standard form of quadratic equation

4x² - x² -2x -9x -20 = 0

3x² - 11x - 20 = 0

Using the sum-product pattern;

3x² + 4x - 15x -20

x (3x +4) -5(3x + 4)

(x - 5) (3x +4)

Now,

x - 5 = 0

x = 5

3x + 4 = 0

3x = -4

x = -4/3

Hence, The roots of the equation are; (x - 5) (3x +4)

x = 5 and x = -4/3

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