The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
Learn more about quadratic equation here:
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Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
Answer:
24
Step-by-step explanation:
8 times 3= 24
12 times 2= 24
