Answer to Q9:
{0,-3/2}
Step-by-step explanation:
We have given an equation.
4x² + 6x = 0
We have to solve above equation for the value of x.
Taking 2x common from given equation, we have
2x(2x+3) = 0
Applying Zero-Product Property , we have
2x = 0 or 2x+3 = 0
x = 0 or 2x = -3
x = 0 or x = -3/2
Hence, the solution of given equation is {0,-3/2}.
Answer to Q10:
{0,3}
Step-by-step explanation:
We have given an equation.
7x² =21x
We have to solve above equation for the value of x.
Adding -21x to both sides of above equation, we have
7x²-21x = 21x-21x
7x²-21x = 0
Taking 7x common from above equation, we have
7x(x-3) = 0
Applying Zero-Product Property , we have
7x = 0 or x-3 = 0
x = 0 or x = 3
Hence, the solution of given equation is {0,3}.
Answer to Q11:
{5,-9}.
Step-by-step explanation:
We have given an equation.
(x+2)² = 49
We have to solve above equation for the value of x.
Taking square root to both sides of above equation, we have
√(x+2)² = √49
x+2 = ±7
Adding to -2 to both sides of above equation, we have
x+2-2 = ±7-2
x = 7-2 or x = -7-2
x = 5 or x = -9
Hence, the solution of given equation is {5,-9}.
Answer to Q12:
{1/2,-1/3}
Step-by-step explanation:
We have given an equation.
x+3 = 24x²
24x²-x-3 = 0
We use method of factorization to solve this.
Splitting the middle term of given equation so that the sum of two term should be -1 and their product be -72, we have
24x²-9x+8x-3 = 0
Taking common, we have
3x(8x-3)+1(8x-3) = 0
Taking (8x-4) as common, we have
(8x-4)(3x+1) = 0
Applying Zero-Product Property to above equation, we have
8x-4 = 0 or 3x+1 = 0
8x = 4 or 3x = -1
x = 4/8 or x = -1/3
x = 1/2 or x =-1/3
Hence, the solution of given equation is {1/2,-1/3}.
Answer to Q13:
(2.5,0) and (2,0)
Step-by-step explanation:
We have given an quadratic equation.
2x²-x-10 = 0
We have to solve above equation by method of graphing.
We have plotted the graph of given equation.
Finding the x-intercepts of equation, we have
(2.5,0) and (2,0)
Hence, x-intercepts are the solution of given equation.
Answer to Q14:
(-1.33,0) and (3.5,0)
Step-by-step explanation:
We have given an quadratic equation.
6x²-13x = 28
6x²-13x-28 = 0
We have to solve above equation by method of graphing.
We have plotted the graph of given equation.
Finding the x-intercepts of equation, we have
(-1.33,0) and (3.5,0)
Hence, x-intercepts are the solution of given equation.
Answer to Q15:
(-7.17,0) and (0.42,0)
Step-by-step explanation:
We have given an quadratic equation.
4x²+27x = 12
4x²+27x-12 = 0
We have to solve above equation by method of graphing.
We have plotted the graph of given equation.
Finding the x-intercepts of equation, we have
(-7.17,0) and (0.42,0)
Hence, x-intercepts are the solution of given equation.
Answer to Q16:
(-2,0) and (3.25,0)
Step-by-step explanation:
We have given an quadratic equation.
4x²-5x-26 = 0
We have to solve above equation by method of graphing.
We have plotted the graph of given equation.
Finding the x-intercepts of equation, we have
(-2,0) and (3.25,0)
Hence, x-intercepts are the solution of given equation.
Answer to Q17:
(-.67,0) and (4.5,0)
Step-by-step explanation:
We have given an quadratic equation.
6x²-23x = 18
6x²-23x-18 = 0
We have to solve above equation by method of graphing.
We have plotted the graph of given equation.
Finding the x-intercepts of equation, we have
(-.67,0) and (4.5,0)
Hence, x-intercepts are the solution of given equation.
Answer to Q18:
(-2.77,0) and (.46,0)
Step-by-step explanation:
We have given an quadratic equation.
-4x²-9x+5 = 0
We have to solve above equation by method of graphing.
We have plotted the graph of given equation.
Finding the x-intercepts of equation, we have
(-2.77,0) and (.46,0)
Hence, x-intercepts are the solution of given equation.
Answer to Q19:
x²+x-20 = 0
Step-by-step explanation:
We have given the solution of equation.
4 and -5
We have to find the equation of given solution.
x = 4 and x = -5
Hence, x-4 = 0 and x +5 = 0
For equation,
(x-4)(x+5) = 0
x²-4x+5x-20 = 0
x²+x-20 = 0 which is the answer.
Answer to Q20:
x²+6x = 0
Step-by-step explanation:
We have given the solution of equation.
-6 and 0
We have to find the equation of given solution.
Hence, x = -6 and x = 0
x+6 = 0 and x = 0
x(x+6) = 0
Distribute x over parentheses,
x²+6x = 0 which is the answer.
Answer to Q21:
x²-11x+24 = 0
Step-by-step explanation:
We have given the solution of equation.
3 and 8
We have to find the equation of given solution.
x = 3 and x = 8
x-3 = 0 and x-8 = 0
(x-3)(x-8) = 0
x²-3x-8x+24 = 0
Adding like terms, we have
x²-11x++24 = 0 which is the answer.